Yang-Mills instantons vs. type IIB D-instantons

Abstract

We report on the computation of the one-instanton contribution to the 16-point Green function of fermionic composite operators in N=4 Super YM theory. The remarkable agreement, initially found in the case of an SU(2) gauge group, with the one D-instanton contribution to the corresponding type IIB superstring amplitude on $Ad{S}_5\times S^5$ is reviewed here. The recent extension by other authors of this result to any SU(N) gauge group and to multi-instantons in the large N limit is briefly discussed. We also argue that for the AdS/SCFT correspondence under consideration to work for any $N\ge 2$, at least for some protected interactions, string effects should require a truncation of the Kaluza--Klein spectrum for finite $S^5$ radius much in the same way as worldsheet unitarity restricts the allowed isospins in SU(2) WZW models. Finally, we briefly comment on the logarithmic behavior of some four-point Green functions of scalar composite operators.

20 pages, Latex, added references, Talk presented at the RFBR-INTAS School on ``Advances in Quantum Field Theory, Statistical Mechanics and Dynamical Systems'', Landau Network at Centro A. Volta, Villa Olmo, Como, Italy, September 7-20 1998, to appear in the proceedings

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Cited by in corpus (4)

• Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory
• Scattering in Anti-de Sitter Space and Operator Product Expansion
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence