Dilaton - fixed scalar correlators and AdS(5) x S**5 - SYM correspondence

Jun, 1999
17 pages
Published in:
  • JHEP 10 (1999) 003
e-Print:
Report number:
  • IMPERIAL-TP-98-99-56,
  • NSF-ITP-99-060

Citations per year

199920052011201720230246810
Abstract:
We address the question of AdS/CFT correspondence in the case of the 3-point function . O_4 and O_8 are particular primary states represented by F^2 + ... and F^4 + ... operators in \N=4 SYM theory and dilaton \phi and massive `fixed' scalar \nu in D=5 supergravity. While the value of computed in large N weakly coupled SYM theory is non-vanishing, the D=5 action of type IIB supergravity compactified on S^5 does not contain \phi\phi\nu coupling and thus the corresponding correlator seems to vanish on the AdS_5 side. This is in obvious contradiction with arguments suggesting non-renormalization of 2- and 3-point functions of states from short multiplets and implying agreement between the supergravity and SYM expressions for them. We propose a natural resolution of this paradox which emphasizes the 10-dimensional nature of the correspondence. The basic idea is to treat the constant mode of the dilaton as a part of the full S^5 Kaluza-Klein family of dilaton modes. This leads to a non-zero result for the correlator on the supergravity side.
  • field theory: anti-de Sitter
  • field theory: conformal
  • dilaton
  • gauge field theory: SU(N)
  • n-point function: 3
  • supergravity
  • Born-Infeld model
  • expansion 1/N