Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
High Energy Physics - Theory
2018-08-29 v2
Abstract
We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N=4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed 't Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.
Keywords
Cite
@article{arxiv.1807.04052,
title = {Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections},
author = {Anthonny F. Canazas Garay and Alberto Faraggi and Wolfgang Mück},
journal= {arXiv preprint arXiv:1807.04052},
year = {2018}
}
Comments
32 pages, 2 figures, v2: added references