Modern Supersymmetry: Dynamics and Duality
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{hep-ph/9303230
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Chapter 6 Gauge mediation
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Chapter 7 Nonperturbative results
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29. M. Flato and C. Fronsdal, "Representations of Conformal Supersymmetry," Lett. Math. Phys. 8 (1984) 159.
30. V. K. Dobrev and V. B. Petkova, "All Positive Energy Unitary Irreducible Representations of Extended Conformal Supersymmetry," Phys. Lett. B 162 (1985) 127; V. K. Dobrev and V. B. Petkova, "All Positive Energy Unitary Irreducible Representations of the Extended Conformal Superalgebra", in Symposium on Conformal Groups and Structures, Clausthal 1985: Lecture Notes in Physics, Vol. 261, Eds. Barut, A. O. and Doebner, H. D. (Springer-Verlag, Berlin, 1986) p. 300; V. K. Dobrev and V. B. Petkova, "Group Theoretical Approach to Extended Conformal Supersymmetry: Function Space Realizations and Invariant Differential Operators," Fortsch. Phys. 35 (1987) 537.
31. S. Minwalla, "Restrictions Imposed by Superconformal Invariance on Quantum Field Theories," Adv. Theor. Math. Phys. 2 (1998) 781, hep-th/9712074.
32. S. Raby, S. Dimopoulos, and L. Susskind, "Tumbling Gauge Theories," Nucl. Phys. B 169 (1980) 373; J. M. Cornwall, "Spontaneous Symmetry Breaking without Scalar Mesons. 2," Phys. Rev. D 10 (1974) 500.
33. D. Z. Freedman and H. Nicolai, "Multiplet Shortening in Osp(N,4)," Nucl. Phys. B 237 (1984) 342.
34. M. F. Sohnius, "Introducing Supersymmetry," Phys. Rept. 128 (1985) 39, Section 16.5.
Chapter 8 Holomorphy
1. D. Amati, K. Konishi, Y. Meurice, G. C. Rossi, and G. Veneziano, "Nonperturbative Aspects in Supersymmetric Gauge Theories," Phys. Rept. 162 (1988) 169.
2. M. A. Shifman and A. I. Vainshtein, "Solution of the Anomaly Puzzle in SUSY Gauge Theories and the Wilson Operator Expansion," Nucl. Phys. B 277 (1986) 456 [ Sov. Phys. JETP 64 (1986) 428, ZETFA 91 (1986) 723]; M. A. Shifman and A. I. Vainshtein, "On Holomorphic Dependence and Infrared Effects in Supersymmetric Gauge Theories," Nucl. Phys. B 359 (1991) 571.
3. M. T. Grisaru, W. Siegel, and M. Rocek, "Improved Methods for Supergraphs," Nucl. Phys. B 159 (1979) 429.
4. N. Seiberg, "Naturalness Versus Supersymmetric Non-Renormalization Theorems," Phys. Lett. B 318 (1993) 469, hep-ph/9309335.
5. N. Seiberg, "The Power of Holomorphy: Exact Results in 4-D SUSY Field Theories," hep-th/9408013.
6. N. Seiberg, "The Power of Duality: Exact Results in 4D SUSY Field Theory," Int. J. Mod. Phys. A 16 (2001) 4365, hep-th/9506077.
7. K. Intriligator and N. Seiberg, "Lectures on Supersymmetric Gauge Theories and Electric-Magnetic Duality," Nucl. Phys. Proc. Suppl. 45BC (1996) 1, hep-th/9509066.
8. N. M. Davies, T. J. Hollowood, V. V. Khoze, and M. P. Mattis, "Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics," Nucl. Phys. B 559 (1999) 123, hep-th/9905015.
9. V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, "Supersymmetric Instanton Calculus: Gauge Theories with Matter," Nucl. Phys. B 260 (1985) 157 [ Yad. Fiz. 42 (1985) 1499].
10. M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, "Instantons Versus SUSY," Sov. Phys. Usp. 28 (1985) 709 [ Usp. Fiz. Nauk. 146 (1985) 683].
11. G. R. Dvali and M. A. Shifman, "Domain Walls in Strongly Coupled Theories," Phys. Lett. B 396 (1997) 64 [Erratum Phys. Lett. B 407 (1997) 452] hep-th/9612128; A. Ritz, M. Shifman, and A. Vainshtein, "Enhanced Worldvolume Supersym-metry and Intersecting Domain Walls in N=1 SQCD," Phys. Rev. D 70 (2004) 095003, hep-th/0405175.
12. N. Arkani-Hamed and H. Murayama, "Holomorphy, Rescaling Anomalies, and Exact beta Functions in Supersymmetric Gauge Theories," JHEP 0006 (2000) 030, hep-th/9707133.
13. M. Dine and Y. Shirman, "Some Explorations in Holomorphy," Phys. Rev. D 50 (1994) 5389, hep-th/9405155.
Chapter 9 The Affleck-Dine-Seiberg superpotential
1. A. C. Davis, M. Dine, and N. Seiberg, "The Massless Limit of Supersymmetric QCD," Phys. Lett. B 125 (1983) 487.
2. I. Affleck, M. Dine, and N. Seiberg, "Dynamical Supersymmetry Breaking in Supersymmetric QCD," Nucl. Phys. B 241 (1984) 493.
3. M. A. Shifman and A. I. Vainshtein, "Solution of the Anomaly Puzzle in SUSY Gauge Theories and the Wilson Operator Expansion," Nucl. Phys. B 277 (1986) 456 [ Sov. Phys. JETP 64 (1986) 428, ZETFA 91 (1986) 723]; M. A. Shifman and A. I. Vainshtein, "On Holomorphic Dependence and Infrared Effects in Supersymmetric Gauge Theories," Nucl. Phys. B 359 (1991) 571; M. Dine and Y. Shirman, "Some Explorations in Holomorphy," Phys. Rev. D 50 (1994) 5389, hep-th/9405155.
4. W. Siegel, "Supersymmetric Dimensional Regularization Via Dimensional Reduction," Phys. Lett. B 84 (1979) 193.
5. D. Finnell and P. Pouliot, "Instanton Calculations Versus Exact Results in Four-Dimensional SUSY Gauge Theories," Nucl. Phys. B 453 (1995) 225, hep-th/9503115.
6. V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, "Supersymmetric Instanton Calculus: Gauge Theories with Matter," Nucl. Phys. B 260 (1985) 157 [ Yad. Fiz. 42 (1985) 1499].
7. E. Witten, "Constraints on Supersymmetry Breaking," Nucl. Phys. B 202 (1982) 253.
8. J. Wess and B. Zumino, "Consequences of Anomalous Ward Identities," Phys. Lett. B 37 (1971) 95. For a review see H. Georgi, Weak Interactions and Modern Particle Theory, (Benjamin Cummings, Menlo Park, CA, 1984).
Chapter 10 Seiberg duality for SUSY QCD
1. N. Seiberg, "Electric--Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories," Nucl. Phys. B 435 (1995) 129, hep-th/9411149.
2. N. Seiberg, "The Power of Duality: Exact Results in 4D SUSY Field Theory," Int. J. Mod. Phys. A 16 (2001) 4365, hep-th/9506077.
3. K. Intriligator and N. Seiberg, "Lectures on Supersymmetric Gauge Theories and Electric-Magnetic Duality," Nucl. Phys. Proc. Suppl. 45BC (1996) 1, hep-th/9509066.
4. M. E. Peskin, "Duality in Supersymmetric Yang-Mills Theory," hep-th/9702094.
5. M. A. Shifman, "Nonperturbative Dynamics in Supersymmetric Gauge Theories," Prog. Part. Nucl. Phys. 39 (1997) 1, hep-th/9704114.
6. G. 't Hooft, "Gauge Fields with Unified Weak, Electromagnetic, and Strong Interactions," Talk given at EPS International Conference on High Energy Physics, Palermo, Italy, June 23-28, 1975, published in High Energy Physics Ed. Zichichi,A. (Editrice Compositori, Bologna, 1976) p. 1225; S. Mandelstam, "Vortices and Quark Confinement in Non-Abelian Gauge Theories," Phys. Rept. 23 (1976) 245; S. Mandelstam, "Charge--Monopole Duality and the Phases of Non-Abelian Gauge Theories," Phys. Rev. D 19 (1979) 2391.
7. N. Seiberg and E. Witten, "Electric--Magnetic Duality, Monopole Condensation, and Confinement in N=2 Supersymmetric Yang-Mills Theory," Nucl. Phys. B 426 (1994) 19, [Erratum-ibid. B 430 (1994) 485], hep-th/9407087.
8. N. Seiberg, "Exact Results on the Space of Vacua of Four-Dimensional SUSY Gauge Theories," Phys. Rev. D 49 (1994) 6857, hep-th/9402044.
9. M. A. Luty and W. I. Taylor, "Varieties of Vacua in Classical Supersymmetric Gauge Theories," Phys. Rev. D 53 (1996) 3399, hep-th/9506098.
10. T. Banks and A. Zaks, "On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions," Nucl. Phys. B 196 (1982) 189.
11. C. G. Callan, S. R. Coleman, and R. Jackiw, "A New Improved Energy--Momentum Tensor," Ann. Phys. 59 (1970) 42.
12. K. Intriligator and B. Wecht, "The Exact Superconformal R-Symmetry Maximizes a," Nucl. Phys. B 667 (2003) 183, hep-th/0304128.
13. R. Delbourgo and A. Salam, "The Gravitational Correction to PCAC," Phys. Lett. B 40, 381 (1972); T. Eguchi and P. G. O. Freund, "Quantum Gravity and World Topology," Phys. Rev. Lett. 37 (1976) 1251; L. Alvarez-Gaume and E. Witten, "Gravitational Anomalies," Nucl. Phys. B 234, 269 (1984).
14. A. de Gouvea, A. Friedland, and H. Murayama, "Seiberg Duality and e^+ e^- Experiments," Phys. Rev. D 59 (1999) 105008, hep-th/9810020.
15. C. Montonen and D. I. Olive, "Magnetic Monopoles as Gauge Particles?," Phys. Lett. B 72 (1977) 117.
16. O. Aharony, "Remarks on Non-Abelian Duality in N=1 Supersymmetric Gauge Theories," Phys. Lett. B 351 (1995) 220, hep-th/9502013.
17. B. Grinstein and D. R. Nolte, "Systematic Study of Theories with Quantum Modified Moduli," Phys. Rev. D 57 (1998) 6471, hep-th/9710001; "Systematic Study of Theories with Quantum Modified Moduli. II," Phys. Rev. D 58 (1998) 045012, hep-th/9803139.
18. T. Banks and E. Rabinovici, "Finite Temperature Behavior of the Lattice Abelian Higgs Model," Nucl. Phys. B 160 (1979) 349; E. H. Fradkin and S. H. Shenker, "Phase Diagrams of Lattice Gauge Theories with Higgs Fields," Phys. Rev. D 19 (1979) 3682.
19. C. Csaki, M. Schmaltz, and W. Skiba, "Systematic Approach to Confinement in N=1 Supersymmetric Gauge Theories," Phys. Rev. Lett. 78 (1997) 799, hep-th/9610139; C. Csaki, M. Schmaltz, and W. Skiba, "Confinement in N=1 SUSY Gauge Theories and Model Building Tools," Phys. Rev. D 55 (1997) 7840, hep-th/9612207.
20. G. `t Hooft "Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking," in Recent Developments in Gauge Theories Ed. `t Hooft, G. et. al. (Plenum Press, New York, 1980) p. 135; reprinted in Unity of Forces in the Universe Vol. II, Ed. Zee, A. (World Scientific, Singapore, 1982) p. 1004; reprinted in Dynamical Gauge Symmetry Breaking, Eds. Farhi, E. and Jackiw, R. (World Scientific, Singapore, 1982). p. 345.
Chapter 11 More Seiberg duality
1. K. Intriligator and N. Seiberg, "Duality, Monopoles, Dyons, Confinement and Oblique Confinement in Supersymmetric SO(N_c) Gauge Theories," Nucl. Phys. B 444 (1995) 125, hep-th/9503179.
2. K. Intriligator and P. Pouliot, "Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric Sp(N_c) Gauge Theories," Phys. Lett. B 353 (1995) 471, hep-th/9505006.
3. G. Dotti, A. V. Manohar, and W. Skiba, "Supersymmetric Gauge Theories with a Free Algebra of Invariants," Nucl. Phys. B 531 (1998) 507, hep-th/9803087.
4. E. Witten, "Constraints on Supersymmetry Breaking," Nucl. Phys. B 202 (1982) 253.
5. P. Pouliot and M. J. Strassler, "A Chiral SU(N) Gauge Theory and its Non-Chiral Spin(8) Dual," Phys. Lett. B 370 (1996) 76, hep-th/9510228.
6. C. Csaki, M. Schmaltz, and W. Skiba, "Systematic Approach to Confinement in N=1 Supersymmetric Gauge Theories," Phys. Rev. Lett. 78 (1997) 799, hep-th/9610139; C. Csaki, M. Schmaltz, and W. Skiba, "Confinement in N=1 SUSY Gauge Theories and Model Building Tools," Phys. Rev. D 55 (1997) 7840, hep-th/9612207.
7. M. Berkooz, "The Dual of Supersymmetric SU(2k) with an Antisymmetric Tensor and Composite Dualities," Nucl. Phys. B 452 (1995) 513, hep-th/9505067.
8. P. Pouliot, "Duality in SUSY SU(N) with an Antisymmetric Tensor," Phys. Lett. B 367 (1996) 151, hep-th/9510148.
9. J. Terning, "Duals for SU(N) SUSY Gauge Theories with an Antisymmetric Tensor: Five Easy Flavors," Phys. Lett. B 422 (1998) 149, hep-th/9712167; C. Csaki, P. Meade, and J. Terning, "A Mixed Phase of SUSY Gauge Theories from A-Maximization," JHEP 0404 (2004) 040, hep-th/0403062.
Chapter 12 Dynamical SUSY breaking
1. Y. Shadmi and Y. Shirman, "Dynamical Supersymmetry Breaking," Rev. Mod. Phys. 72 (2000) 25, hep-th/9907225.
2. I. Affleck, M. Dine, and N. Seiberg, "Dynamical Supersymmetry Breaking in Chiral Theories," Phys. Lett. B 137 (1984) 187.
3. I. Affleck, M. Dine, and N. Seiberg, "Dynamical Supersymmetry Breaking in Four-Dimensions and its Phenomenological Implications," Nucl. Phys. B 256 (1985) 557.
4. Y. Meurice and G. Veneziano, "SUSY Vacua Versus Chiral Fermions," Phys. Lett. B 141 (1984) 69.
5. K. Intriligator and S. Thomas, "Dual Descriptions of Supersymmetry Breaking," hep-th/9608046.
6. H. Murayama, "Studying Noncalculable Models of Dynamical Supersymmetry Breaking," Phys. Lett. B 355 (1995) 187, hep-th/9505082.
7. P. Pouliot, "Duality in SUSY SU(N) with an Antisymmetric Tensor," Phys. Lett. B 367 (1996) 151, hep-th/9510148.
8. K. Intriligator and S. Thomas, "Dynamical Supersymmetry Breaking on Quantum Moduli Spaces," Nucl. Phys. B 473 (1996) 121, hep-th/9603158; K. Izawa and T. Yanagida, "Dynamical Supersymmetry Breaking in Vector-Like Gauge Theories," Prog. Theor. Phys. 95 (1996) 829, hep-th/9602180.
9. N. Arkani-Hamed and H. Murayama, "Renormalization Group Invariance of Exact Results in Supersymmetric Gauge Theories," Phys. Rev. D 57 (1998) 6638, hep-th/9705189.
10. S. Dimopoulos, G. R. Dvali, and R. Rattazzi, "Dynamical Inflation and Unification Scale on Quantum Moduli Spaces," Phys. Lett. B 410 (1997) 119, hep-ph/9705348.
11. Z. Chacko, M .A. Luty, and E. Ponton, "Calculable Dynamical Supersymmetry Breaking on Deformed Moduli Spaces," JHEP 12 (1998) 016, hep-th/9810253.
12. L. O'Raifeartaigh, "Spontaneous Symmetry Breaking for Chiral Scalar Superfields," Nucl. Phys. B 96 (1975) 331.
13. M .A. Luty and J. Terning, "New Mechanisms of Dynamical Supersymmetry Breaking and Direct Gauge Mediation," Phys. Rev. D 57 (1998) 6799, hep-ph/9709306.
14. I. Affleck, M. Dine, and N. Seiberg, "Calculable Nonperturbative Supersym-metry Breaking," Phys. Rev. Lett. 52 (1984) 1677.
15. C. Csaki, L. Randall, W. Skiba, and R. G. Leigh, "Supersymmetry Breaking Through Confining and Dual Theory Gauge Dynamics," Phys. Lett. B 387 (1996) 791, hep-th/9607021.
16. E. Poppitz, Y. Shadmi, and S. P. Trivedi, "Supersymmetry Breaking and Duality in SU(N) x SU(N-M) Theories," Phys. Lett. B 388 (1996) 561, hep-th/9606184.
17. S. Dimopoulos, G. R. Dvali, R. Rattazzi, and G. F. Giudice, "Dynamical Soft Terms with Unbroken Supersymmetry," Nucl. Phys. B 510 (1998) 12, hep-ph/9705307.
18. Y. Shirman, private communication.
19. N. Arkani-Hamed and H. Murayama, "Can the Supersymmetric Flavor Problem Decouple?," Phys. Rev. D 56 (1997) 6733, hep-ph/9703259.
20. M. A. Luty and J. Terning, "Improved Single Sector Supersymmetry Breaking," Phys. Rev. D 62 (2000) 075006, hep-ph/9812290.
21. M. Berkooz, P. L. Cho, P. Kraus, and M. J. Strassler, "Dual Descriptions of SO(10) SUSY Gauge Theories with Arbitrary Numbers of Spinors and Vectors," Phys. Rev. D 56 (1997) 7166, hep-th/9705003.
22. A. G. Cohen, D. B. Kaplan, and A. E. Nelson, "The More Minimal Supersymmetric Standard Model," Phys. Lett. B 388 (1996) 588, hep-ph/9607394.
Chapter 13 The Seiberg-Witten theory
1. N. Seiberg and E. Witten, "Electric--Magnetic Duality, Monopole Condensation, and Confinement in N=2 supersymmetric Yang-Mills theory," Nucl. Phys. B 426 (1994) 19, hep-th/9407087.
2. N. Seiberg and E. Witten, "Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD," Nucl. Phys. B 431 (1994) 484, hep-th/9408099.
3. K. Intriligator and N. Seiberg, "Duality, Monopoles, Dyons, Confinement and Oblique Confinement in Supersymmetric SO(N_c) Gauge Theories," Nucl. Phys. B 444 (1995) 125, hep-th/9503179.
4. L. Alvarez-Gaume and S. F. Hassan, "Introduction to S-Duality in N=2 Supersymmetric Gauge Theories: A Pedagogical Review of the Work of Seiberg and Witten," Fortsch. Phys. 45 (1997) 159, hep-th/9701069.
5. E. Witten, "Dyons of Charge e theta/ 2 pi," Phys. Lett. B 86 (1979) 283.
6. K. Intriligator and N. Seiberg, "Phases of N=1 Supersymmetric Gauge Theories in Four-Dimensions," Nucl. Phys. B 431 (1994) 551, hep-th/9408155.
7. C. Csaki and W. Skiba, "Classification of the N=1 Seiberg--Witten Theories," Phys. Rev. D 58 (1998) 045008, hep-th/9801173;
8. H. W. Lenstra Jr., "Factoring Integers with Elliptic Curves," Ann. Math. 126 (1987) 649.
9. V. Miller, "Uses of Elliptic Curves in Cryptography," in Lecture Notes in Computer Science 218: Advances in Cryptology---CRYPTO 85 (Springer-Verlag, Berlin, 1986) p. 417; N. Koblitz, "Elliptic Curve Cryptosystems," Math. Comput. 48 (1987) 203.
10. A. Wiles, "Modular Elliptic-Curves and Fermat's Last Theorem," Ann. Math. 141 (1995) 443; R. Taylor, and A. Wiles, "Ring-Theoretic Properties of Certain Hecke Algebras," Ann. Math. 141 (1995) 553.
11. N. Seiberg, "Supersymmetry and Nonperturbative beta Functions," Phys. Lett. B 206 (1988) 75.
12.
C. H. Clemens, A Scrapbook of Complex Curve Theory
13. S. K. Donaldson, "An Application of Gauge Theory to the Topology of Four-Manifolds," J. Differ. Geom. 18 (1983) 269; "The Orientation of Yang-Mills Moduli Spaces and Four-Manifold Topology." J. Differ. Geom. 26 (1987) 397; "Polynomial Invariants for Smooth Four-Manifolds." Topology 29 (1990) 257; S. K. Donaldson and P. B. Kronheimer, The Geometry of Four-Manifolds, (Oxford University Press, Oxford, 1990).
14. E. Witten, "Topological Quantum Field Theory," Commun. Math. Phys. 117 (1988) 353.
15. E. Witten, "Monopoles and Four Manifolds," Math. Res. Lett. 1 (1994) 769, hep-th/9411102.
16. E. Witten, "Supersymmetry and Morse Theory," J. Diff. Geom. 17 (1984) 661.
17 E. Witten, "Quantum Field Theory and the Jones Polynomial," Comm. Math. Phys. 121 (1989) 351.
18. A. Hanany and Y. Oz, "On the Quantum Moduli Space of Vacua of N=2 Supersymmetric SU(N_c) Gauge Theories," Nucl. Phys. B 452 (1995) 283, hep-th/9505075.
Chapter 14 Superconformal field theories
1. K. Intriligator and B. Wecht, "The Exact Superconformal R-symmetry Maximizes a," Nucl. Phys. B 667 (2003) 183, hep-th/0304128; K. Intriligator and B. Wecht, "RG Fixed Points and Flows in SQCD with Adjoints," Nucl. Phys. B 677 (2004) 223, hep-th/0309201.
2. J. L. Cardy, "Is there a C Theorem in Four-Dimensions?," Phys. Lett. B 215 (1988) 749.
3. A. B. Zamolodchikov, "Irreversibility' of the Flux of the Renormalization Group in a 2-D Field Theory," JETP Lett. 43 (1986) 730 [ Pisma Zh. Eksp. Teor. Fiz. 43 (1986) 565].
4. D. Anselmi, D. Z. Freedman, M. T. Grisaru, and A. A. Johansen, "Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories," Nucl. Phys. B 526 (1998) 543, hep-th/9708042; D. Anselmi, J. Erlich, D. Z. Freedman, and A. A. Johansen, "Positivity Constraints on Anomalies in Supersymmetric Gauge Theories," Phys. Rev. D 57 (1998) 7570, hep-th/9711035.
5. H. Murayama, "Studying Noncalculable Models of Dynamical Supersymmetry Breaking," Phys. Lett. B 355 (1995) 187, hep-th/9505082.
6. E. Poppitz and S. P. Trivedi, "Some Examples of Chiral Moduli Spaces and Dynamical Supersymmetry Breaking," Phys. Lett. B 365 (1996) 125, hep-th/9507169.
7. D. Kutasov, A. Parnachev, and D. A. Sahakyan, "Central Charges and U(1)_R Symmetries in N=1 Super Yang--Mills," JHEP 0311 (2003) 013, hep-th/0308071.
8. C. Csaki, P. Meade, and J. Terning, "A Mixed Phase of SUSY Gauge Theories from A-Maximization," JHEP 0404 (2004) 040, hep-th/0403062.
9. M. A. Luty, M. Schmaltz, and J. Terning, "A Sequence of Duals for Sp(2N) Supersymmetric Gauge Theories with Adjoint Matter," Phys. Rev. D 54 (1996) 7815, hep-th/9603034.
10. A. Hanany and Y. Oz, "On the Quantum Moduli Space of Vacua of N=2 Supersymmetric SU(N_c) Gauge Theories," Nucl. Phys. B 452 (1995) 283, hep-th/9505075.
11. P. C. Argyres and M. R. Douglas, "New Phenomena in SU(3) Supersymmetric Gauge Theory," Nucl. Phys. B 448 (1995) 93, hep-th/9505062.
12. P. C. Argyres, M. R. Plesser, N. Seiberg, and E. Witten, "New N=2 Superconformal Field Theories in Four Dimensions," Nucl. Phys. B 461 (1996) 71, hep-th/9511154.
13.
T. Eguchi,
"Seiberg--Witten Theory and S-duality,"
in Duality and Supersymmetric Theories
14. W. Lerche, C. Vafa, and N. P. Warner, "Chiral Rings In N=2 Superconformal Theories," Nucl. Phys. B 324 (1989) 427; E. J. Martinec, "Algebraic Geometry and Effective Lagrangians," Phys. Lett. B 217 (1989) 431.
15. R. G. Leigh and M. J. Strassler, "Exactly Marginal Operators and Duality in Four-Dimensional N=1 Supersymmetric Gauge Theory," Nucl. Phys. B 447 (1995) 95, hep-th/9503121.
16. S. Kachru and E. Silverstein, "4-D Conformal Theories and Strings on Orbifolds," Phys. Rev. Lett. 80 (1998) 4855, hep-th/9802183; A. Lawrence, N. Nekrasov, and C. Vafa, "On Conformal Field Theories in Four-Dimensions," Nucl. Phys. B 533 (1998) 199, hep-th/9803015; M. Bershadsky, Z. Kakushadze, and C. Vafa, "String Expansion as Large N Expansion of Gauge Theories," Nucl. Phys. B 523 (1998) 59, hep-th/9803076; M. Bershadsky and A. Johansen, "Large N Limit of Orbifold Field Theories," Nucl. Phys. B 536 (1998) 141, hep-th/9803249.
17. H. Georgi, "A Tool Kit for Builders of Composite Models," Nucl. Phys. B 266 (1986) 274; M. R. Douglas and G. W. Moore, "D-Branes, Quivers, and ALE Instantons," hep-th/9603167.
18. N. Arkani-Hamed, A. G. Cohen, and H. Georgi, "(De)constructing Dimensions," Phys. Rev. Lett. 86 (2001) 4757, hep-th/0104005; C. T. Hill, S. Pokorski, and J. Wang, "Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes," Phys. Rev. D 64 (2001) 105005, hep-th/0104035; I. Rothstein and W. Skiba, "Mother Moose: Generating Extra Dimensions from Simple Groups at Large N," Phys. Rev. D 65 (2002) 065002, hep-th/0109175; N. Arkani-Hamed, A. G. Cohen, D. B. Kaplan, A. Karch, and L. Motl, "Deconstructing (2,0) and Little String Theories," JHEP 0301 (2003) 083, hep-th/0110146; C. Csaki, J. Erlich, and J. Terning, "Seiberg--Witten Description of the Deconstructed 6D (0,2) Theory," Phys. Rev. D 67 (2003) 025019, hep-th/0208095.
19. P.H. Frampton and C. Vafa, "Conformal Approach to Particle Phenomenology," hep-th/9903226.
20. C. Csaki, W. Skiba, and J. Terning, "beta Functions of Orbifold Theories and the Hierarchy Problem," Phys. Rev. D 61 (2000) 025019, hep-th/9906057.
21. M. J. Strassler, "Non-Supersymmetric Theories with Light Scalar Fields and Large Hierarchies," hep-th/0309122; H. S. Goh, M. A. Luty, and S. P. Ng, "Supersymmetry without Supersymmetry," JHEP 0501 (2005) 040, hep-th/0309103; M. A. Luty and T. Okui, "Conformal Technicolor," hep-ph/0409274.
Chapter 15 Supergravity
1.
J. Wess and J. Bagger, Supersymmetry and Supergravity
2. P. Van Nieuwenhuizen, "Supergravity," Section 4.5, Phys. Rept. 68 (1981) 189.
3. A H. Chamseddine and P. C. West, "Supergravity as a Gauge Theory of Supersymmetry," Nucl. Phys. B 129 (1977) 39.
4.
P. C. West,
"Supergravity, Brane Dynamics and String Duality"
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5.
S. Weinberg,
Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
6. D. Z. Freedman, P. van Nieuwenhuizen, and S. Ferrara, "Progress Toward a Theory of Supergravity," Phys. Rev. D 13 (1976) 3214 D. Z. Freedman and P. van Nieuwenhuizen, "Properties of Supergravity Theory," Phys. Rev. D 14 (1976) 912.
7. M. Kaku and P. K. Townsend, "Poincare Supergravity as Broken Superconformal Gravity," Phys. Lett. B 76 (1978) 54; A. Das, M. Kaku, and P. K. Townsend, "A Unified Approach to Matter Coupling in Weyl and Einstein Supergravity," Phys. Rev. Lett. 40 (1978) 1215; P. S. Howe, "Supergravity in Superspace," Nucl. Phys. B 199 (1982) 309; E. S. Fradkin and A. A. Tseytlin, "Conformal Supergravity," Phys. Rept. 119 (1985) 233.
8. C. Brans and H. Dicke, "Mach's Principle and a Relativistic Theory of Gravitation," Phys. Rev. 124 (1961) 925.
9.
W. Siegel and S. J. Gates, Jr.,
"Superfield Supergravity,"
Nucl. Phys. B 147 (1979) 77;
S. J. Gates, M. T. Grisaru, M. Rocek, and W. Siegel,
One Thousand and One Lessons in Supersymmetry
10. E. Cremmer, S. Ferrara, L. Girardello, and A. Van Proeyen, "Yang-Mills Theories with Local Supersymmetry: Lagrangian, Transformation Laws and Superhiggs Effect," Nucl. Phys. B 212 (1983) 413.
11. L. Randall and R. Sundrum, "Out of this World Supersymmetry Breaking," Nucl. Phys. B 557 (1999) 79, hep-th/9810155.
12. S. P. Martin, "A Supersymmetry Primer," in Perspectives on Supersymmetry, Ed. Kane, G., pp. 1--98. (World Scientific, Singapore, 1998), hep-ph/9709356.
13. A. Brignole, L. E. Ibanez, and C. Munoz, "Towards a Theory of Soft Terms for the Supersymmetric Standard Model," Nucl. Phys. B 422 (1994) 125 [Erratum-ibid. B 436 (1995) 747] hep-ph/9308271; K. Choi, J. E. Kim, and H. P. Nilles, "Cosmological Constant and Soft Terms in Supergravity," Phys. Rev. Lett. 73 (1994) 1758, hep-ph/9404311; K. Choi, J. E. Kim and G. T. Park, "Phenomenology of Soft Terms in the Presence of Nonvanishing Hidden Sector Potential Energy," Nucl. Phys. B 442 (1995) 3, hep-ph/9412397.
14. D. V. Volkov and V. A. Soroka, "Higgs Effect for Goldstone Particles with Spin 1/2," JETP Lett. 18 (1973) 312 [ Pisma Zh. Eksp. Teor. Fiz. 1 (1973) 529]; S. Deser and B. Zumino, "Broken Supersymmetry and Supergravity," Phys. Rev. Lett. 38 (1977) 1433; E. Cremmer, B. Julia, J. Scherk, P. van Nieuwenhuizen, S. Ferrara, and L. Girardello, "Superhiggs Effect in Supergravity with General Scalar Interactions," Phys. Lett. B 79 (1978) 231.
15. P. K. Townsend, "The Eleven-Dimensional Supermembrane Revisited," Phys. Lett. B 350 (1995) 184, hep-th/9501068; "D-branes from M-branes," Phys. Lett. B 373 (1996) 68, hep-th/9512062; E. Witten, "String Theory Dynamics in Various Dimensions," Nucl. Phys. B 443 (1995) 85, hep-th/9503124;
16. M. B. Green and J. H. Schwarz, "Anomaly Cancellation in Supersymmetric D=10 Gauge Theory and Superstring Theory," Phys. Lett. B 149 (1984) 117.
17. M. Pernici, K. Pilch, and P. van Nieuwenhuizen, "Gauged N=8, D=5 Supergravity, Nucl. Phys. B 259 (1985) 460; M. Gunaydin, L. J. Romans, and N. P. Warner, "Compact and Noncompact Gauged Supergravity Theories in Five Dimensions, Nucl. Phys. B 272 (1986) 598.
Chapter 16 Anomaly and gaugino mediation
1. L. Randall and R. Sundrum, "Out of this World Supersymmetry Breaking," Nucl. Phys. B 557 (1999) 79, hep-th/9810155.
2. G. F. Giudice, M. A. Luty, H. Murayama, and R. Rattazzi, "Gaugino Mass Without Singlets," JHEP 12 (1998) 027, hep-ph/9810442.
3. E. Cremmer, S. Ferrara, C. Kounnas, and D. V. Nanopoulos, "Naturally Vanishing Cosmological Constant in N=1 Supergravity," Phys. Lett. B 133 (1983) 61; J. R. Ellis, A. B. Lahanas, D. V. Nanopoulos, and K. Tamvakis, "No-Scale Supersymmetric Standard Model," Phys. Lett. B 134 (1984) 429; J. R. Ellis, C. Kounnas, and D. V. Nanopoulos, "Phenomenological SU(1,1) Supergravity," Nucl. Phys. B 241 (1984) 406.
4. Yuri Shirman, private communication.
5. Z. Chacko, M. A. Luty, I. Maksymyk, and E. Ponton, "Realistic Anomaly-Mediated Supersymmetry Breaking," JHEP 0004 (2000) 001, hep-ph/9905390.
6. Z. Chacko and M. A. Luty, "Realistic Anomaly Mediation with Bulk Gauge Fields," JHEP 0205 (2002) 047, hep-ph/0112172.
7. A. Pomarol and R. Rattazzi, "Sparticle Masses from the Superconformal Anomaly," JHEP 05 (1999) 013, hep-ph/9903448.
8. S. R. Coleman and E. Weinberg, "Radiative Corrections as the Origin of Spontaneous Symmetry Breaking," Phys. Rev. D 7 (1973) 1888.
9. D. E. Kaplan, G. D. Kribs, and M. Schmaltz, "Supersymmetry Breaking Through Transparent Extra Dimensions," Phys. Rev. D 62 (2000) 035010, hep-ph/9911293; Z. Chacko, M.A. Luty, A. E. Nelson, and E. Ponton, "Gaugino-Mediated Supersymmetry Breaking," JHEP 0001 (2000) 003, hep-ph/9911323.
10. N. Arkani-Hamed, T. Gregoire, and J. Wacker, "Higher Dimensional Super-symmetry in 4D Superspace," JHEP 0203 (2002) 055, hep-th/0101233.
Chapter 17 Introduction to the AdS/CFT correspondence
1. J. M. Maldacena, "The Large-N Limit of Superconformal Field Theories and Supergravity," Adv. Theor. Math. Phys. 2 (1998) 231, hep-th/9711200.
2. S .S. Gubser, I. R. Klebanov, and A. M. Polyakov, "Gauge Theory Correlators from Non-Critical String Theory," Phys. Lett. B 428 (1998) 105, hep-th/9802109.
3.
J. Polchinski String Theory
4. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, "Large N Field Theories, String Theory and Gravity," Phys. Rept. 323 (2000) 183, hep-th/9905111.
5. A. Giveon and D. Kutasov, "Brane Dynamics and Gauge Theory," Rev. Mod. Phys. 71 (1999) 983, hep-th/9802067.
6. J. Dai, R. G. Leigh, and J. Polchinski, "New Connections Between String Theories," Mod. Phys. Lett. A 4 (1989) 2073. J. Polchinski, "Dirichlet-Branes and Ramond--Ramond Charges," Phys. Rev. Lett. 75 (1995) 4724, hep-th/9510017.
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8. E. Witten, "Bound States of Strings and p-Branes," Nucl. Phys. B 460 (1996) 335, hep-th/9510135.
9. A. Hanany and E. Witten, "Type IIB Superstrings, BPS Monopoles, and Three-Dimensional Gauge Dynamics," Nucl. Phys. B 492 (1997) 152, hep-th/9611230; S. Elitzur, A. Giveon, and D. Kutasov, "Branes and N=1 Duality in String Theory," Phys. Lett. B 400 (1997) 269, hep-th/9702014.
10. A. Klemm, W. Lerche, P. Mayr, C. Vafa, and N. P. Warner, "Self-Dual Strings and N=2 Supersymmetric Field Theory," Nucl. Phys. B 477 (1996) 746, hep-th/9604034; E. Witten, "Solutions of Four-Dimensional Field Theories via M-Theory," Nucl. Phys. B 500 (1997) 3, hep-th/9703166.
11. A. Klemm, W. Lerche, S. Yankielowicz, and S. Theisen, "Simple Singularities and N=2 Supersymmetric Yang--Mills Theory," Phys. Lett. B 344 (1995) 169, hep-th/9411048.
12. J. Furukawa, "S-duality in N=2 QCD and Non-Abelian Duality in N=1 QCD with M-Theory," hep-th/9706121; M. Schmaltz and R. Sundrum, "N=1 Field Theory Duality from M-Theory," Phys. Rev. D 57 (1998) 6455, hep-th/9708015; C. Csaki and W. Skiba, "Duality in Sp and SO Gauge Groups from M-Theory," Phys. Lett. B 415 (1997) 31, hep-th/9708082.
13. H. J. Kim, L. J. Romans, and P. Van Nieuwenhuizen, "Mass Spectrum of Chiral Ten-Dimensional N=2 Supergravity on S^5," Phys.Rev. D 32 (1985) 389; M. Gunaydin and N. Marcus, "The Spectrum of the S^5 Compactification of Chiral N=2, D=10 Supergravity and the Unitary Supermultiplets of U(2,2/4)," Class.Quant.Grav. 2 (1985) L11.
14. E. Witten, "Anti-de Sitter Space and Holography," Adv. Theor. Math. Phys. 2 (1998) 253, hep-th/9802150.
15. P. Breitenlohner and D. Z. Freedman, "Positive Energy in Anti-de Sitter Backgrounds and Gauged Extended Supergravity," Phys. Lett. B 115 (1982) 197; "Stability in Gauged Extended Supergravity," Ann. Phys. 144 (1982) 249.
16. S. J. Rey and J. T. Yee, "Macroscopic Strings as Heavy Quarks in Large N Gauge Theory and Anti-de Sitter Supergravity," Eur. Phys. J. C 22 (2001) 379, hep-th/9803001.
17.
A. Zee, Quantum Field Theory in a Nutshell
18. S. W. Hawking and D. N. Page, "Thermodynamics of Black Holes in Anti-de Sitter Space," Commun. Math. Phys. 87 (1983) 577.
19. E. Witten, "Anti-de Sitter Space, Thermal PhaseTransition, and Confinement in Gauge Theories," Adv. Theor. Math. Phys. 2 (1998) 505, hep-th/9803131.
20. C. Csaki, H. Ooguri, Y. Oz, and J. Terning, "Glueball Mass Spectrum from Supergravity," JHEP 01 (1999) 017, hep-th/9806021.
21. J. G. Russo, "New Compactifications of Supergravities and Large N QCD," Nucl. Phys. B 543 (1999) 183, hep-th/9808117.
22. C. Csaki, Y. Oz, J. Russo, and J. Terning, "Large N QCD from Rotating Branes," Phys. Rev. D 59 (1999) 065012, hep-th/9810186.
23. C. Csaki, J. Russo, K. Sfetsos, and J. Terning, "Supergravity Models for 3+1 Dimensional QCD," Phys. Rev. D 60 (1999) 044001, hep-th/9902067.
24. R. C. Brower, S. D. Mathur, and C. I. Tan, "Discrete Spectrum of the Graviton in the AdS_5 Black Hole Background," Nucl. Phys. B 574 (2000) 219, hep-th/9908196.
25. M. J. Teper, "Physics from the Lattice: Glueballs in QCD, Topology, SU(N) for all N," hep-lat/9711011; C. J. Morningstar and M. J. Peardon, "The Glueball Spectrum from an Anisotropic Lattice Study," Phys. Rev. D 60 (1999) 034509, hep-lat/9901004.
26. J. G. Russo and K. Sfetsos, "Rotating D3 Branes and QCD in Three Dimensions," Adv. Theor. Math. Phys. 3 (1999) 131, hep-th/9901056.
27. M. Cvetic and S. Gubser, "Thermodynamic Stability and Phases of General Spinning Branes," JHEP 9907 (1999) 010, hep-th/9903132.
28. J. B. Kogut, D. K. Sinclair, and L. Susskind, "A Quantitative Approach to Low-Energy Quantum Chromodynamics," Nucl. Phys. B 114 (1976) 199.
29. Y. Oz and J. Terning, "Orbifolds of AdS_5 x S^5 and 4D Conformal Feld Theories," Nucl. Phys. B 532 (1998) 163, hep-th/9803167.
30. S. Kachru and E. Silverstein, "4D Conformal Theories and Strings on Orbifolds," Phys. Rev. Lett. 80 (1998) 4855, hep-th/9802183; A. Lawrence, N. Nekrasov, and C. Vafa, "On Conformal Field Theories in Four-Dimensions," Nucl. Phys. B 533 (1998) 199, hep-th/9803015;
31. M. R. Douglas and G. Moore, "D-branes, Quivers, and ALE Instantons," hep-th/9603167; C. V. Johnson and R. C. Myers, "Aspects of Type IIB Theory on ALE Spaces," Phys. Rev. D 55 (1997) 6382, hep-th/9610140. M. R. Douglas, B. R. Greene, and D. R. Morrison, "Orbifold Resolution by D-Branes," Nucl. Phys. B 506 (1997) 84, hep-th/9704151.
32. J. M. Maldacena and C. Nunez, "Towards the Large N Limit of Pure N=1 Super Yang--Mills," Phys. Rev. Lett. 86 (2001) 588, hep-th/0008001.
33. J. Polchinski and M. J. Strassler, "The String Dual of a Confining Four-Dimensional Gauge Theory," hep-th/0003136.
34. I. R. Klebanov and M. J. Strassler, "Supergravity and a Confining Gauge Theory: Duality Cascades and chi SB-Resolution of Naked Singularities," JHEP 0008 (2000) 052, hep-th/0007191; M. J. Strassler, "The Duality Cascade," hep-th/0505153.
35. J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, "QCD and a Holographic Model of Hadrons," hep-ph/0501128; L. Da Rold and A. Pomarol, "Chiral Symmetry Breaking from Five Dimensional Spaces," Nucl. Phys. B 721 (2005) 79, hep-ph/0501218.
36. D. Berenstein, J. M. Maldacena, and H. Nastase, "Strings in Flat Space and pp Waves from N=4 Super Yang--Mills," JHEP 0204 (2002) 013, hep-th/0202021.
37. L. Randall and R. Sundrum, "A Large Mass Hierarchy from a Small Extra Dimension," Phys. Rev. Lett. 83 (1999) 3370, hep-ph/9905221; L. Randall and R. Sundrum, "An Alternative to Compactification," Phys. Rev. Lett. 83 (1999) 4690, hep-th/9906064.
Appendix B Group theory
1. R. Slansky, "Group Theory for Unified Model Building," Phys. Rep. 79 (1981) 1.