English

Multi-Instantons and Maldacena's Conjecture

High Energy Physics - Theory 2009-10-31 v3 High Energy Physics - Phenomenology

Abstract

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, Gn=Ng8kn7/2e8π2k/g2dkd2×Fn(x1,...,xn)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.

Keywords

Cite

@article{arxiv.hep-th/9810243,
  title  = {Multi-Instantons and Maldacena's Conjecture},
  author = {N. Dorey and T. J. Hollowood and V. V. Khoze and M. P. Mattis and S. Vandoren},
  journal= {arXiv preprint arXiv:hep-th/9810243},
  year   = {2009}
}

Comments

12 pp. In this version we use the recently-calculated normalization for the 10D partition function of N=1 SYM. Consequently, we can now claim perfect agreement between N=4 large-N SQCD, and type IIB SUGRA on AdS_5 x S^5