Aspects of N = 2 supersymmetric gauge theories in three dimensions

Nuclear Physics B

Volumn 499, Issue 1-2, 1997, Pages 67-99

  Aharony, O ^a   Hanany, A ^b   Intriligator, K ^b,d   Seiberg, N ^a   Strassler, M J ^b,c  

^a RUTGERS UNIVERSITY   (United States)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

^c HARVARD UNIVERSITY   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Gauge field theory; Mirror symmetry; Supersymmetry

Indexed keywords

EID: 0031577405     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00323-4     Document Type: Article

References (45)

1. [1] K. Intriligator and N. Seiberg, Lectures on Supersymmetric Gauge Theories and Electric-Magnetic Duality, hep-th/9509066, Nucl. Phys. B (Proc. Suppl.) 45BC (1996) 1.
2. [2] M.E. Peskin, Duality in Supersymmetric Yang-Mills Theory, hep-th/9702094.
3. [3] K. Intriligator and N. Seiberg, Mirror Symmetry in Three Dimensional Gauge Theories, hep-th/9607207, Phys. Lett. B 387 (1996) 513.
4. [4] J. de Boer, K. Hori, H. Ooguri and Y. Oz, Mirror Symmetry in Three Dimensional Gauge Theories, Quivers and D-branes, hep-th/9611063, Nucl. Phys. B 493 (1997) 101.
5. [5] M. Porrati and A. Zaffaroni, M Theory Origin of Mirror Symmetry in Three Dimensional Gauge Theories, hep-th/9611201, Nucl. Phys. B 490 (1997) 107.
6. [6] A. Hanany and E. Witten, Type IIB Superstrings, BPS Monopoles, and Three Dimensional Gauge Dynamics, hep-th/9611230, Nucl. Phys. B 492 (1997) 152.
7. [7] J. de Boer, K. Hori, H. Ooguri, Y. Oz, and Z. Yin, Mirror Symmetry in Three Dimensional Gauge Theories, SL(2, ℤ), and D-Brane Moduli Spaces, hep-th/9612131.
8. [8] B.S. Acharya, A Mirror Pair of Calabi-Yau Fourfolds in Type II String Theory, hep-th/9703029.
9. [9] A.N. Redlich, Gauge Non-invariance and Parity Violation of Three-Dimensional Fermions, Phys. Rev. Lett. 52 (1984) 18; A.N. Redlich, Parity Violation and Gauge Non-invariance of the Effective Gauge Field Action in Three Dimensions, Phys. Rev. D 29 (1984) 2366.
10. [9] A.N. Redlich, Gauge Non-invariance and Parity Violation of Three-Dimensional Fermions, Phys. Rev. Lett. 52 (1984) 18; A.N. Redlich, Parity Violation and Gauge Non-invariance of the Effective Gauge Field Action in Three Dimensions, Phys. Rev. D 29 (1984) 2366.
11. [10] L. Alvarez-Gaumé and E. Witten, Gravitational Anomalies, Nucl. Phys. B 234 (1983) 269.
12. [11] J. de Boer, K. Hori and Y. Oz, Dynamics of N = 2 Supersymmetric Gauge Theories in Three Dimensions, hep-th/9703100, Nucl. Phys. B (1997), to be published.
13. [12] Z. Hlousek and D. Spector, Why Topological Charges Imply Extended Supersymmetry, Nucl. Phys. B 370 (1992) 143;
14. J. Edelstein, C. Núñez and F. Schaposnik, Supersymmetry and Bogomolny Equations in the Abelian Higgs Model, hep-th/9311055, Phys. Lett. B 329 (1994) 39.
15. [13] N. Seiberg, The Power of Holomorphy: Exact Results in 4D SUSY Field Theories, hep-th/9408013, PASCOS 1994, pp. 357-369.
16. [14] N. Seiberg, Notes on theories with 16 supercharges, RU-97-7, to appear.
17. [15] I. Affleck, J. Harvey and E. Witten, Instantons and (Super-)Symmetry Breaking in (2+1) Dimensions, Nucl. Phys. B 206 (1982) 413.
18. [16] H. Nishino and S.J. Gates, Jr., Chem-Simons Theories with Supersymmetries in Three Dimensions, Int. J. Mod. Phys. A 8 (1993) 3371.
19. [17] N. Seiberg and E. Witten, Electric-Magnetic Duality, Monopole Condensation and Confinement in N = 2 Supersymmetric Yang-Mills Theory, hep-th/9407087, Nucl. Phys. B 426 (1994) 19; N. Seiberg and E. Witten, Monopoles, Duality and Chiral Symmetry Breaking in N = 2 Supersymmetric QCD, hep-th/9408099, Nucl. Phys. B 431 (1994) 484.
20. [17] N. Seiberg and E. Witten, Electric-Magnetic Duality, Monopole Condensation and Confinement in N = 2 Supersymmetric Yang-Mills Theory, hep-th/9407087, Nucl. Phys. B 426 (1994) 19; N. Seiberg and E. Witten, Monopoles, Duality and Chiral Symmetry Breaking in N = 2 Supersymmetric QCD, hep-th/9408099, Nucl. Phys. B 431 (1994) 484.
21. [18] N. Seiberg, Naturalness vs. Supersymmetric Non-renormalization Theorems, hep-ph/9309335, Phys. Lett. B 318 (1993) 469.
22. [19] E. Witten, An SU(2) Anomaly, Phys. Lett. B 117 (1982) 324.
23. [20] E.J. Weinberg, Fundamental Monopoles and Multimonopole Solutions for Arbitrary Simple Gauge Groups, Nucl. Phys. B 167 (1980) 500.
24. [21] A.M. Polyakov, Quark Confinement and the Topology of Gauge Groups, Nucl. Phys. B 120 (1977) 429.
25. [22] R. Jackiw and C. Rebbi, Solitons with Fermion Number 1/2, Phys. Rev. D 13 (1976) 3398.
26. [23] C. Callias, Axial Anomalies and Index Theorems on Open Spaces, Comm. Math. Phys. 62 (1978) 213.
27. [24] N. Seiberg and E. Witten, Gauge Dynamics and Compactification to Three Dimensions, hep-th/9607163.
28. [25] N. Seiberg, IR Dynamics on Branes and Space-Time Geometry, hep-th/9606017, Phys. Lett. B 384 (1996) 81.
29. [26] N. Seiberg, Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories, hep-th/9402044, Phys. Rev. D 49 (1994) 6857
30. [27] M. Berkooz, M.R. Douglas and R.G. Leigh, Branes Intersecting at Angles, hep-th/9606139, Nucl. Phys. B 480 (1996) 265.
31. [28] J.L.F. Barbon, Rotated Branes and N = 1 Duality, hep-th/9703051.
32. [29] S. Elitzur, A. Giveon and D. Kutasov, Branes and N=1 Duality in String Theory, hep-th/9702014.
33. [30] J. de Boer, K. Hori, Y. Oz and Z. Yin, Branes and Mirror Symmetry in N = 2 Supersymmetric Gauge Theories in Three Dimensions, hep-th/9702154.
34. [31] H.B. Nielsen and P. Olesen, Vortex-Line Models for Dual Strings, Nucl. Phys. B 61 (1973) 45.
35. [32] E.B. Bogomolny, The Stability of Classical Solutions, Sov. J. Nucl. Phys. 24 (1976) 449.
36. [33] P. Di Vecchia and S. Ferrara, Classical Solutions in Two-Dimensional Supersymmetric Field Theories, Nucl. Phys. B 130 (1977) 93.
37. [34] A. Hanany and I.R. Klebanov, On Tensionless Strings in (3+1) Dimensions, hep-th/9606136, Nucl. Phys. B 482 (105) 1996; B.R. Greene, D.R. Morrison and C. Vafa, A Geometric Realization of Confinement, hep-th/9608039, Nucl. Phys. B 481 (1996) 513.
38. [34] A. Hanany and I.R. Klebanov, On Tensionless Strings in (3+1) Dimensions, hep-th/9606136, Nucl. Phys. B 482 (105) 1996; B.R. Greene, D.R. Morrison and C. Vafa, A Geometric Realization of Confinement, hep-th/9608039, Nucl. Phys. B 481 (1996) 513.
39. [35] I. Affleck, M. Dine and N. Seiberg, Dynamical Supersymmetry Breaking in Supersymmetric QCD, Nucl. Phys. B 241 (1984) 493; I. Affleck, M. Dine and N. Seiberg, Dynamical Supersymmetry Breaking in Four Dimensions and its Phenomenological Implications, Nucl. Phys. B 256 (1985) 557.
40. [35] I. Affleck, M. Dine and N. Seiberg, Dynamical Supersymmetry Breaking in Supersymmetric QCD, Nucl. Phys. B 241 (1984) 493; I. Affleck, M. Dine and N. Seiberg, Dynamical Supersymmetry Breaking in Four Dimensions and its Phenomenological Implications, Nucl. Phys. B 256 (1985) 557.
41. [36] C. Gómez and R. Hernández, M and F-Theory Instantons, N = 1 Supersymmetry and Fractional Topological Charge, hep-th/9701150.
42. [37] K. Lee and P. Yi, Monopoles and Instantons in Partially Compactified D-branes, hep-th/9702107.
43. [38] S. Katz and C. Vafa, Geometric Engineering of N = 1 Quantum Field Theories, hep-th/9611090.
44. [39] S.R. Wadia and S.R. Das, Topology of Quantum Gauge Fields and Duality. 1. Yang-Mills Higgs System in (2+1) Dimensions, Phys. Lett. B 106 (1981) 386.
45. [40] N. Seiberg, Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories, hep-th/9411149, Nucl. Phys. B 435 (1995) 129.