Multi-Instantons and Maldacena's Conjecture

Details Multi-Instantons and Maldacena's Conjecture Multi-Instantons and Maldacena's Conjecture

1998-10-30

arxiv.org/abs/hep-th/9810243v3

JHEP 9906 (1999) 023

Physics

High Energy Physics

High Energy Physics - Theory

12 pp. In this version we use the recently-calculated normalization for the 10D partition function of N=1 SYM. Consequently, w

Scientific paper

10.1088/1126-6708/1999/06/023

We examine certain n-point functions G_n in {\cal N}=4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of AdS_5 x S^5. (2) In exact agreement with type IIB superstring calculations, at the k-instanton level, $G_n = \sqrt{N} g^8 k^{n-7/2} e^{-8\pi^2 k/g^2}\sum_{d|k} d^{-2} \times F_n(x_1,...,x_n)$, where F_n is identical to a convolution of n bulk-to-boundary SUGRA propagators.

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