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Correspondence between supersymmetric Yang-Mills and supergravity theories


Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

The AdS/CFT correspondence establishes a relationship between supersymmetric gravity (SUGRA) on anti-de Sitter (AdS) space and supersymmetric Yang-Mills (SYM) theory, which is a conformally invariant field theory (CFT). The AdS space is the solution of the Einstein-Hilbert equations with a constant negative curvature. Why is this relationship important? What kind of relationship is this? How does one find it? The purpose of this paper is to answer these questions. We try to present the main ideas and arguments underlying this relationship, starting with a brief sketch of ’old’ string theory results and proceeding with the definition of D-branes and a description of their main features. A demonstration of the discussed correspondence and arguments in it its favor conclude the paper.

Fulltext pdf (369 KB)
Fulltext is also available at DOI: 10.1070/PU2001v044n09ABEH000797
PACS: 04.65.+e, 11.25.−w, 12.60.Jv (all)
DOI: 10.1070/PU2001v044n09ABEH000797
URL: https://ufn.ru/en/articles/2001/9/e/
000173343900005
Citation: Akhmedov E T "Correspondence between supersymmetric Yang-Mills and supergravity theories" Phys. Usp. 44 955–971 (2001)
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Îðèãèíàë: Àõìåäîâ Ý Ò «Ñîîòâåòñòâèå ìåæäó ñóïåðñèììåòðè÷íîé òåîðèåé ßíãà-Ìèëëñà è ñóïåðãðàâèòàöèåé» ÓÔÍ 171 1005–1024 (2001); DOI: 10.3367/UFNr.0171.200109f.1005

References (33) ↓ Cited by (7) Similar articles (2)

  1. Polyakov A M Gauge Fields And Strings (Heidelberg: Springer-Verlag, 1987)
  2. ’t Hooft G Nucl. Phys. B 72 461 (1974)
  3. Green M B, Schwarz J H, Witten E Superstring Theory (Cambridge: Cambridge Univ. Press, 1987)
  4. Polchinski J String Theory (Cambridge: Cambridge Univ. Press, 1998); Polchinski J "TASI lectures on D-branes" hep-th/9611050
  5. Polyakov A M Nucl. Phys. B Proc. Suppl. 68 1 (1998)
  6. Maldacena J Adv. Theor. Math. Phys. 2 231 (1998)
  7. Gubser S S, Klebanov I R, Polyakov A M Phys. Lett. B 428 105 (1998)
  8. Witten E Adv. Theor. Math. Phys. 2 253 (1998)
  9. Polchinski J Phys. Rev. Lett. 75 4724 (1995); Dai J, Leigh R G, Polchinski J Mod. Phys. Lett. A 4 2073 (1989); Horava P Phys. Lett. B 231 251 (1989)
  10. Witten E Nucl. Phys. B 460 335 (1996)
  11. Witten E, Olive D Phys. Lett. B 78 97 (1978)
  12. Bagger J, Wess J Supersymmetry And Supergravity 2nd ed. (Princeton: Princeton University Press, 1992)
  13. Klebanov I Nucl. Phys. B 496 231 (1997)
  14. Maldacena J, Strominger A J. High Energy Phys. 12 8 (1997)
  15. Gubser S S, Klebanov I R Phys. Lett. B 413 41 (1997)
  16. Aharony O et al. "Large N field theories, string theory and gravity" Phys. Rep. 323 183 (2000); Aharony O et al. hep-th/9905111; Di Vecchia P "An introduction to AdS/CFT correspondence" Fortschr. Phys. 48 87 (2000); Di Vecchia P hep-th/9903007; Douglas M R, Randjbar-Daemi S "Two lectures on the AdS/CFT correspondence" hep-th/9902022; Petersen J L "Introduction to the Maldacena conjecture on AdS/CFT" Int. J. Mod. Phys. A 14 3597 (1999); Petersen J L hep-th/9902131; Klebanov I R "From three-branes to large N gauge theories" hep-th/9901018; Morozov A "Identities between quantum field theories in different dimensions" hep-th/9810031
  17. Tseytlin A A, Fradkin E S Phys. Lett. B 160 69 (1985); Tseytlin A A, Fradkin E S Pis’ma Zh. Eksp. Teor. Fiz. 41 169 (1985)
  18. Maldacena J M Ph. D. Thesis (Princeton: Princeton University, 1996); Maldacena J M hep-th/9607235; Akhmedov E T "Black hole thermodynamics from the point of view of superstring theory" Int. J. Mod. Phys. A 15 1 (2000); Akhmedov E T hep-th/9711153
  19. Duff M J, Khuri R R, Lu J X Phys. Rep. 259 213 (1995); Callan C G (Jr.), Harvey J A, Strominger A "Supersymmetric string solitons" hep-th/9112030
  20. Leigh R G Mod. Phys. Lett. A 4 2767 (1989)
  21. Susskind L J. Math. Phys. 36 6377 (1995)
  22. ’t Hooft G "Dimensional reduction in quantum gravity" gr-qc/9310026
  23. Susskind L, Witten E "The holographic bound in anti-de Sitter space" hep-th/9805114
  24. Tseytlin A A "On non-Abelian generalization of Born - Infeld action in string theory" Nucl. Phys. B 501 41 (1997); Tseytlin A A hep-th/9701125
  25. Ferrara S, Zaffaroni A "Bulk gauge fields in AdS supergravity and supersingletons" hep-th/9807090; Ferrara S, Fronsdal C Class. Quant. Grav. 15 2153 (1998)
  26. Maldacena J Phys. Rev. Lett. 80 4859 (1998)
  27. Rey S-J, Yee Y "Macroscopic strings as heavy quarks of large N gauge theory and anti-de Sitter supergravity" hep-th/9803001
  28. Witten E Adv. Theor. Math. Phys. 2 505 (1998)
  29. Izhaki N et al. Phys. Rev. D 58 46004 (1998)
  30. Kachru S, Silverstein E Phys. Rev. Lett. 80 4855 (1998)
  31. Lawrence A, Nekrasov N, Vafa C Nucl. Phys. B 533 199 (1998)
  32. Klebanov I R, Tseytlin A A "D-branes and dual gauge theories in type 0 string theory" Nucl. Phys. B 546 155 (1999); Klebanov I R, Tseytlin A A hep-th/9811035
  33. Polyakov A "The wall of the cave" Int. J. Mod. Phys. A 14 645 (1999); Polyakov A hep-th/9809057

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