Skip to main content
SpringerLink
Log in

Supersymmetric Gauge Theories

  • Chapter
  • First Online:
Unity from Duality: Gravity, Gauge Theory and Strings

Part of the book series: Les Houches - Ecole d’Ete de Physique Theorique ((LHSUMMER,volume 76))

  • 401 Accesses

Abstract

We introduce simple and more advanced concepts that have played a key role in the development of supersymmetric systems. This is done by first describing various supersymmetric quantum mechanics models. Topics covered include the basic construction of supersymmetric field theories, the phase structure of supersymmetric systems with and without gauge particles, superconformal theories and infrared duality in both field theory and string theory. A discussion of the relation of conformal symmetry to a vanishing vacuum energy (cosmological constant) is included.

This work is supported by BSF- the American-Israeli Bi-National Science foundation, the Israel academy of sciences and humanities-Centers of excellence program, the German-Israeli Bi-National science foundation, the european RTN network HPRN-CT-2000-00122 and DOE grant DE-FG02-90ER40560.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Y.A. Golfand and E.P. Likhtman, JETP Lett. 13 (1971) 323 [Pisma Zh. Eksp. Teor. Fiz. 13 (1971) 452].

    ADS  Google Scholar 

  2. J. Wess and B. Zumino, Phys. Lett. B 49 (1974) 52.

    Article  ADS  Google Scholar 

  3. J. Bagger and J. Wess, Supersymmetry and Supergravity, 2nd edition (Princeton University Press, 1992).

    Google Scholar 

  4. P.C. West, Introduction To Supersymmetry And Supergravity, Singapore (Singapore: World Scientific, 1990), 425.

    MATH  Google Scholar 

  5. S. Weinberg, Phys. Rev. D 13 (1976) 974.

    Article  ADS  Google Scholar 

  6. S. Weinberg, Phys. Rev. D 19 (1979) 1277.

    Article  ADS  Google Scholar 

  7. L. Susskind, Phys. Rev. D 20 (1979) 2619.

    Article  ADS  Google Scholar 

  8. J.R. Ellis, S. Kelley and D.V. Nanopoulos, Phys. Lett. B 260 (1991) 131.

    Article  ADS  Google Scholar 

  9. U. Amaldi, W. de Boer and H. Furstenau, Phys. Lett. B 260 (1991) 447.

    Article  ADS  Google Scholar 

  10. P. Langacker and M.x. Luo, Phys. Rev. D 44 (1991) 817.

    Article  ADS  Google Scholar 

  11. D. Kutasov and N. Seiberg, Nucl. Phys. B 358 (1991) 600.

    Article  ADS  MathSciNet  Google Scholar 

  12. Introduction to Supersymmetry http://www.lns.cornell.edu/argyres/phys661/

  13. P. Fayet and S. Ferrara, Phys. Rept. 32 (1977) 249.

    Article  ADS  MathSciNet  Google Scholar 

  14. H.P. Nilles, Phys. Rept. 110 (1984) 1.

    Article  ADS  Google Scholar 

  15. K. Intriligator and N. Seiberg, Nucl. Phys. Proc. Suppl. BC 45 (1996) 1 [hep-th/9509066].

    Article  ADS  MathSciNet  Google Scholar 

  16. S.J. Gates, M.T. Grisaru, M. Rocek and W. Siegel, Front. Phys. 58 (1983) 1 [arXiv:hep-th/0108200].

    MathSciNet  Google Scholar 

  17. S. Weinberg, The Quantum Theory Of Fields, Vol. 3: Supersymmetry (Cambridge, UK: Univ. Pr., 2000), 419.

    MATH  Google Scholar 

  18. J.M. Figueroa-O’Farrill, BUSSTEPP lectures on supersymmetry [arXiv:hep-th/0109172].

    Google Scholar 

  19. For a review see, O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Phys. Rept. 323 (2000) 183 [arXiv:hep-th/9905111].

    Article  MathSciNet  ADS  Google Scholar 

  20. See for example, O. Aharony, J. Sonnenschein, M.E. Peskin and S. Yankielowicz, Phys. Rev. D 52 (1995) 6157 [arXiv:hep-th/9507013].

    Article  ADS  MathSciNet  Google Scholar 

  21. For a review see, T. Banks, Nucl. Phys. Proc. Suppl. 62 (1998) 341; Nucl. Phys. Proc. Suppl. 68 (1998) 261 [arXiv:hep-th/9706168].

    Article  MATH  ADS  Google Scholar 

  22. S. Elitzur, E. Rabinovici and A. Schwimmer, Phys. Lett. B 119 (1982) 165.

    Article  ADS  MathSciNet  Google Scholar 

  23. N. Parga, E. Rabinovici and A. Schwimmer, Nucl. Phys. B 255 (1985) 383.

    Article  ADS  Google Scholar 

  24. E. Witten, Nucl. Phys. B 188 (1981) 513.

    Article  ADS  Google Scholar 

  25. E. Witten, Nucl. Phys. B 202 (1982) 253.

    Article  ADS  MathSciNet  Google Scholar 

  26. P.C. West, Nucl. Phys. B 106 (1976) 219.

    ADS  Google Scholar 

  27. A. Forge and E. Rabinovici, Phys. Rev. D 32 (1985) 927.

    Article  ADS  Google Scholar 

  28. V. de Alfaro, S. Fubini and G. Furlan, Nuovo Cim. A 34 (1976) 569.

    Article  ADS  Google Scholar 

  29. V.P. Akulov and A.I. Pashnev, Theor. Math. Phys. 56 (1983) 862; Teor. Mat. Fiz. 56 (1983) 344.

    Article  Google Scholar 

  30. S. Fubini and E. Rabinovici, Nucl. Phys. B 245 (1984) 17.

    Article  ADS  MathSciNet  Google Scholar 

  31. P. Claus, M. Derix, R. Kallosh, J. Kumar, P.K. Townsend and A. Van Proeyen, Phys. Rev. Lett. 81 (1998) 4553.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  32. R. Kallosh, Black holes and quantum mechanics [arXiv:hep-th/9902007].

    Google Scholar 

  33. N. Seiberg, Phys. Lett. B 318 (1993) 469.

    Article  ADS  MathSciNet  Google Scholar 

  34. Private communication, P. Fayet and J. Illiopoulos.

    Google Scholar 

  35. P. Fayet, Phys. Lett. B 58 (1975) 67.

    Article  ADS  Google Scholar 

  36. L. O’Raifeartaigh, Nucl. Phys. B 96 (1975) 331.

    Article  ADS  MathSciNet  Google Scholar 

  37. P. Fayet and J. Iliopoulos, Phys. Lett. B 51 (1974) 461.

    Article  ADS  Google Scholar 

  38. T. Banks, R. Myerson and J.B. Kogut, Nucl. Phys. B 129 (1977) 493.

    Article  ADS  Google Scholar 

  39. D. Horn, M. Weinstein and S. Yankielowicz, Phys. Rev. D 19 (1979) 3715.

    Article  ADS  Google Scholar 

  40. S. Elitzur, R.B. Pearson and J. Shigemitsu, Phys. Rev. D 19 (1979) 3698.

    Article  ADS  Google Scholar 

  41. A. Ukawa, P. Windey and A.H. Guth, Phys. Rev. D 21 (1980) 1013.

    Article  ADS  Google Scholar 

  42. For similar structures in a string theory context see, S. Elitzur, B. Pioline and E. Rabinovici, JHEP 0010 (2000) 011 [arXiv:hep-th/0009009].

    Article  ADS  MathSciNet  Google Scholar 

  43. J.L. Cardy and E. Rabinovici, Nucl. Phys. B 205 (1982) 1.

    Article  ADS  MathSciNet  Google Scholar 

  44. E. Witten, Phys. Lett. B 86 (1979) 283.

    Article  ADS  Google Scholar 

  45. H.B. Nielsen and P. Olesen, Nucl. Phys. B 61 (1973) 45.

    Article  ADS  Google Scholar 

  46. S. Mandelstam, Phys. Rept. 23 (1976) 245.

    Article  ADS  Google Scholar 

  47. G.’ t Hooft, Nucl. Phys. B 138 (1978) 1.

    Article  ADS  Google Scholar 

  48. N. Seiberg and E. Witten, Nucl. Phys. B 431 (1994) 484 [arXiv:hep-th/9408099].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  49. N. Seiberg and E. Witten, Nucl. Phys. B 426 (1994) 19; Erratum-ibid. 430 (1994) 485 [arXiv:hep-th/9407087].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  50. A. Bilal, Duality in N = 2 SUSY SU(2) Yang-Mills Theory: A pedagogical introduction to the work of Seiberg and Witten [arXiv:hep-th/9601007].

    Google Scholar 

  51. T.R. Taylor, G. Veneziano and S. Yankielowicz, Nucl. Phys. B 218 (1983) 493.

    Article  ADS  Google Scholar 

  52. D. Amati, K. Konishi, Y. Meurice, G.C. Rossi and G. Veneziano, Phys. Rept. 162 (1988) 169.

    Article  ADS  MathSciNet  Google Scholar 

  53. I. Affleck, M. Dine and N. Seiberg, Nucl. Phys. B 241 (1984) 493; Nucl. Phys. B 256 (1985) 557.

    Article  ADS  Google Scholar 

  54. K. Intriligator, Phys. Lett. B 336 (1994) 409 [hep-th/9407106].

    Article  ADS  Google Scholar 

  55. S. Elitzur, A. Forge, A. Giveon and E. Rabinovici, Phys. Lett. B 353 (1995) 79 [hep-th/9504080].

    Article  ADS  MathSciNet  Google Scholar 

  56. S. Elitzur, A. Forge, A. Giveon and E. Rabinovici, Nucl. Phys. B 459 (1996) 160 [hep-th/9509130].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  57. S. Elitzur, A. Forge, A. Giveon and E. Rabinovici, Ahrenshoop Symp. (1995) 174 [hep-th/9512140].

    Google Scholar 

  58. K. Intriligator, R.G. Leigh and N. Seiberg, Phys. Rev. D 50 (1994) 1092 [hep-th/9403198].

    Article  ADS  MathSciNet  Google Scholar 

  59. K. Intriligator and N. Seiberg, Nucl. Phys. B 431 (1994) 551 [hep-th/9408155].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  60. K. Intriligator and N. Seiberg, Nucl. Phys. B 444 (1995) 125 [hep-th/9503179].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  61. K. Intriligator, N. Seiberg and S.H. Shenker, Phys. Lett. B 342 (1995) 152 [hep-ph/9410203].

    Article  ADS  Google Scholar 

  62. S. Elitzur, A. Forge, A. Giveon, K. Intriligator and E. Rabinovici, Phys. Lett. B 379 (1996) 121 [hep-th/9603051].

    Article  ADS  Google Scholar 

  63. T. Banks and E. Rabinovici, Nucl. Phys. B 160 (1979) 349; E. Fradkin and S. Shenker, Phys. Rev. D 19 (1979) 3682.

    Article  ADS  Google Scholar 

  64. L.F. Abbott and E. Farhi, Nucl. Phys. B 189 (1981) 547.

    Article  ADS  Google Scholar 

  65. A. Casher, Phys. Lett. B 83 (1979) 395.

    Article  ADS  Google Scholar 

  66. G.’ t Hooft, in C79-08-26.4 PRINT-80-0083 (UTRECHT) Lecture given at Cargese Summer Inst. (Cargese, France, Aug. 26-Sep. 8, 1979).

    Google Scholar 

  67. N. Seiberg, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  68. S. Elitzur, A. Giveon and D. Kutasov, Phys. Lett. B 400 (1997) 269 [hep-th/9702014].

    Article  ADS  MathSciNet  Google Scholar 

  69. S. Elitzur, A. Giveon, D. Kutasov, E. Rabinovici and A. Schwimmer, Nucl. Phys. B 505 (1997) 202 [hep-th/9704104].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  70. N. Dorey, T.J. Hollowood, V.V. Khoze and M.P. Mattis, The calculus of many instantons [arXiv:hep-th/0206063].

    Google Scholar 

  71. P. Argyres and M. Douglas, Nucl. Phys. B 448 (1995) 93 [hep-th/9505062].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  72. A.C. Davis, M. Dine and N. Seiberg, Phys. Lett. B 125 (1983) 487.

    Article  ADS  Google Scholar 

  73. T. Banks and A. Zaks, Nucl. Phys. B 196 (1982) 189.

    Article  ADS  Google Scholar 

  74. G. Mack, Commun. Math. Phys. 53 (1977) 155.

    Article  ADS  MathSciNet  Google Scholar 

  75. V.K. Dobrev, G. Mack, V.B. Petkova, S.G. Petrova and I.T. Todorov, Harmonic Analysis On The N-Dimensional Lorentz Group And Its Application To Conformal Quantum Field Theory (Berlin, 1977), 280.

    Google Scholar 

  76. P.C. Argyres, M. Ronen Plesser, N. Seiberg and E. Witten, Nucl. Phys. B 461 (1996) 71.

    Article  MATH  ADS  Google Scholar 

  77. R.G. Leigh and M.J. Strassler, Nucl. Phys. B 447 (1995) 95 [arXiv:hep-th/9503121].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  78. M.B. Einhorn, G. Goldberg and E. Rabinovici, Nucl. Phys. B 256 (1985) 499.

    Article  ADS  MathSciNet  Google Scholar 

  79. For some recent string theory results see, O. Aharony, B. Kol and S. Yankielowicz, JHEP 0206 (2002) 039 [arXiv:hep-th/0205090].

    Article  ADS  MathSciNet  Google Scholar 

  80. For a review, see: J. Harvey [hep-th/9603082], and references therein.

    Google Scholar 

  81. Ya.B. Zeldovich, Sov. Phys. Uspekhi 11 (1968) 381.

    Article  ADS  Google Scholar 

  82. S. Weinberg, Rev. Mod. Phys. 61 (1989).

    Google Scholar 

  83. D.J. Amit and E. Rabinovici, Nucl. Phys. B 257 (1985) 371.

    Article  ADS  Google Scholar 

  84. E. Rabinovici, B. Saering and W.A. Bardeen, Phys. Rev. D 36 (1987) 562.

    Article  ADS  Google Scholar 

  85. W.M. Alberico and S. Sciuto, Symmetry And Simplicity in Physics, in Proceedings, Symposium on The Occasion of Sergio Fubini’s 65th Birthday, Turin, Italy, February 24-26, 1994 (Singapore, Singapore: World Scientific, 1994), 220.

    Google Scholar 

  86. W.A. Bardeen, M. Moshe and M. Bander, Phys. Rev. Lett. 52 (1984) 1188.

    Article  ADS  Google Scholar 

  87. E. Rabinovici, unpublished.

    Google Scholar 

  88. N. Seiberg, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  89. P. Argyres, M.R. Plesser, N. Seiberg and E. Witten, Nucl. Phys. B 461 (1996) 71 [hep-th/9511154].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  90. N. Seiberg, Phys. Lett. B 318 (1993) 469 [hep-th/9309335].

    Article  ADS  MathSciNet  Google Scholar 

  91. For example, see: A. Giveon and M. Roček, Phys. Lett. B 363 (1995) 173 [hep-th/9508043], and references therein.

    Article  ADS  MathSciNet  Google Scholar 

  92. J. Polchinski, TASI Lectures on D-Branes [hep-th/9611050].

    Google Scholar 

  93. A. Giveon and D. Kutasov, Brane Dynamics and Gauge Theory [hep-th/9802067].

    Google Scholar 

  94. E. Rabinovici, Non-perturbative gauge dynamics and strings, Published in “Erice 1999, Basics and highlights in fundamental physics”, 284.

    Google Scholar 

  95. A. Hanany and E. Witten, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230].

    Article  ADS  MathSciNet  Google Scholar 

  96. M. Duff, R.R. Khuri and J.X. Lu, Phys. Rept. 259 (1995) 213 [hep-th/9412184].

    Article  ADS  MathSciNet  Google Scholar 

  97. M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory (Cambridge University Press, 1987).

    Google Scholar 

  98. A. Giveon, M. Porrati and E. Rabinovici, Phys. Rept. 244 (1994) 77 [hep-th/9401139].

    Article  ADS  MathSciNet  Google Scholar 

  99. E. Witten, Nucl. Phys. B 500 (1997) 3 [hep-th/9703166].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  100. P.S. Howe, N.D. Lambert and P.C. West, Phys. Lett. B 418 (1998) 85 [arXiv:hep-th/9710034]; N.D. Lambert and P.C. West, Nucl. Phys. B 524 (1998) 141 [arXiv:hep-th/9712040].

    Article  ADS  MathSciNet  Google Scholar 

  101. O. Aharony, A. Hanany, K. Intriligator, N. Seiberg and M.J. Strassler, Nucl. Phys. B 499 (1997) 67 [hep-th/9703110].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  102. J.L. Barbon, I.I. Kogan and E. Rabinovici, Nucl. Phys. B 544 (1999) 104 [arXiv:hep-th/9809033]; S.A. Abel, J.L.F. Barbon, I.I. Kogan and E. Rabinovici, JHEP 9904 (1999) 015 [arXiv:hep-th/9902058].

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Racah Institute, Hebrew University, Jerusalem, Israel

    E. Rabinovici, D. S. Berman & E. Rabinovici

Authors
  1. E. Rabinovici
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. S. Berman
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Rabinovici
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

C. Bachas A. Bilal M. Douglas N. Nekrasov F. David

Rights and permissions

Reprints and permissions

Copyright information

© 2002 EDP Sciences, Springer-Verlag

About this chapter

Cite this chapter

Rabinovici, E., Berman, D.S., Rabinovici, E. (2002). Supersymmetric Gauge Theories. In: Bachas, C., Bilal, A., Douglas, M., Nekrasov, N., David, F. (eds) Unity from Duality: Gravity, Gauge Theory and Strings. Les Houches - Ecole d’Ete de Physique Theorique, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36245-2_2

Download citation

  • DOI: https://doi.org/10.1007/3-540-36245-2_2

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00276-5

  • Online ISBN: 978-3-540-36245-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation