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Some cubic couplings in type IIB supergravity on AdS5×S5 and three-point functions in four-dimensional super Yang-Mills theory at large N

G. Arutyunov*

S. Frolov

  • Sektion Physik, Munich University, Theresienstrasse 37, D-80333 Munich, Germany

  • Department of Physics and Astronomy, University of Alabama, Box 870324, Tuscaloosa, Alabama 35487-0324

  • *On leave of absence from Steklov Mathematical Institute, Gubkin str. 8, GSP-1, 117966, Moscow, Russia. Email address: arut@theorie.physik.uni-muenchen.de
  • On leave of absence from Steklov Mathematical Institute, Gubkin str. 8, GSP-1, 117966, Moscow, Russia. Email address: frolov@bama.ua.edu

Phys. Rev. D 61, 064009 – Published 23 February, 2000

DOI: https://doi.org/10.1103/PhysRevD.61.064009

Abstract

All cubic couplings in type IIB supergravity on AdS5×S5 that involve two scalar fields sI that are mixtures of the five form field strength on S5 and the trace of the graviton on S5 are derived by using the covariant equations of motion and the quadratic action for type IIB supergravity on AdS5×S5. All corresponding three-point functions in SYM4 are calculated in the supergravity approximation. It is pointed out that the scalars sI correspond not to the chiral primary operators in the N=4 SYM but rather to a proper extension of the operators.

References (47)

  1. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
  2. G. G. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
  3. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
  4. I. Ya. Aref’eva and I. V. Volovich, “On large N conformal field theories, field theories in anti-de Sitter space and singletons,” hep-th/9803028.
  5. M. Henningson and K. Sfetsos, Phys. Lett. B 431, 63 (1998).
  6. W. Mück and K. S. Viswanathan, Phys. Rev. D 58, 041901 (1998).
  7. D. Freedman, S. Mathur, A. Matusis, and L. Rastelli, Nucl. Phys. B546, 96 (1999).
  8. H. Liu and A. A. Tseytlin, Nucl. Phys. B553, 88 (1998).
  9. G. Chalmers, H. Nastase, K. Schalm, and R. Siebelink, Nucl. Phys. B540, 247 (1999).
  10. W. Mück and K. S. Viswanathan, Phys. Rev. D 58, 106006 (1998).
  11. A. Ghezelbash, K. Kaviani, S. Parvizi, and A. Fatollahi, Phys. Lett. B 435, 291 (1998).
  12. S. Lee, S. Minwalla, M. Rangamani, and N. Seiberg, Adv. Theor. Math. Phys. 2, 697 (1998).
  13. G. Arutyunov and S. Frolov, Nucl. Phys. B544, 576 (1999).
  14. G. Arutyunov and S. Frolov, Phys. Lett. B 441, 173 (1998).
  15. E. D’Hoker, D. Freedman, and W. Skiba, Phys. Rev. D 59, 045008 (1999).
  16. P. S. Howe, E. Sokatchev, and P. C. West, Phys. Lett. B 444, 341 (1998).
  17. S. Corley, Phys. Rev. D 59, 086003 (1999).
  18. A. Volovich, J. High Energy Phys. 09, 022 (1998).
  19. W. S. l’Yi, “Generating functionals of correlation functions of p-form currents in the AdS/CFT correspondence,” hep-th/9809132.
  20. W. Mück and K. S. Viswanathan, “The graviton in the AdS/CFT correspondence: Solution via the Dirichlet boundary value problem,” hep-th/9810151.
  21. L. Chekhov, “AdS/CFT correspondence on torus,” hep-th/9811146.
  22. A. Koshelev and O. Rytchkov, Phys. Lett. B 450, 368 (1999).
  23. G. Arutyunov and S. Frolov, Phys. Rev. D 60, 026004 (1999).
  24. A. Polishchuk, J. High Energy Phys. 07, 007 (1999).
  25. H. Liu and A. A. Tseytlin, J. High Energy Phys. 10, 003 (1999).
  26. H. J. Kim, L. J. Romans, and P. van Nieuwenhuizen, Phys. Rev. D 32, 389 (1985).
  27. M. Gunaydin and N. Marcus, Class. Quantum Grav. 2, L11 (1985).
  28. E. D’Hoker and D. Freedman, Nucl. Phys. B550, 612 (1999).
  29. H. Liu and A. A. Tseytlin, Phys. Rev. D 59, 086002 (1999).
  30. D. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, Phys. Lett. B 452, 61 (1999).
  31. G. Chalmers and K. Schalm, Nucl. Phys. B554, 215 (1999).
  32. E. D’Hoker and D. Freedman, Nucl. Phys. B544, 612 (1999).
  33. J. H. Brodie and M. Gutperle, Phys. Lett. B 445, 296 (1999).
  34. H. Liu, Phys. Rev. D 60, 106005 (1999).
  35. E. D’Hoker, D. Freedman, S. Mathur, A. Matusis, and L. Rastelli, “Graviton exchange and complete 4-point functions in the AdS/CFT correspondence,” hep-th/9903196.
  36. E. D’Hoker, D. Freedman, and L. Rastelli, “AdS/CFT 4-point functions: How to succeed at z-integrals without really trying,” hep-th/9905049.
  37. B. Eden, P. S. Howe, C. Schubert, E. Sokatchev, and P. C. West, Phys. Lett. B 466, 20 (1999).
  38. S. Sanjay, Mod. Phys. Lett. A 14, 1413 (1999).
  39. M. Bianchi, S. Kovacs, G. Rossi, and Y. S. Stanev, J. High Energy Phys. 08, 020 (1999).
  40. G. Arutyunov and S. Frolov, J. High Energy Phys. 08, 024 (1999).
  41. J. H. Schwarz, Nucl. Phys. B226, 269 (1983).
  42. J. H. Schwarz and P. C. West, Phys. Lett. 126B, 301 (1983).
  43. P. S. Howe and P. C. West, Nucl. Phys. B238, 181 (1984).
  44. G. Dall’Agata, K. Lechner, and D. Sorokin, Class. Quantum Grav. 14, L195 (1997).
  45. G. Dall’Agata, K. Lechner, and M. Tonin, J. High Energy Phys. 07, 017 (1998).
  46. R. Corrado, B. Florea, and R. McNees, Phys. Rev. D 60, 085001 (1999).
  47. F. Bastianelli and R. Zucchini, Phys. Lett. B 467, 61 (1999).

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