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Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections by Garay, Anthonny F. Canazas; Faraggi, Alberto; Mück, Wolfgang is a scholarly article available to read on EtoBox.

What is Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections about?

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.

Author

Garay, Anthonny F. Canazas; Faraggi, Alberto; Mück, Wolfgang

Published

2018

Language

EN