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, , 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