Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit

James Gordon

doi:10.1007/JHEP01(2018)107

Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit

High Energy Physics - Theory 2018-03-14 v2

Authors: James Gordon

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Abstract

We study the $\frac{1}{2}$ -BPS circular Wilson loop in the totally antisymmetric representation of the gauge group in $\mathcal N =4$ supersymmetric Yang-Mills. This observable is captured by a Gaussian matrix model with appropriate insertion. We compute the first $1/N$ correction at leading order in 't Hooft coupling by means of the matrix model loop equations. Disagreement with the 1-loop effective action of the holographically dual $D5$ -brane suggests the need to account for gravitational backreaction on the string theory side.

Keywords

Wilson loops antisymmetric representation N=4 SYM 1/N expansion matrix model AdS/CFT correspondence D5-brane

Cite

@article{arxiv.1708.05778,
  title  = {Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit},
  author = {James Gordon},
  journal= {arXiv preprint arXiv:1708.05778},
  year   = {2018}
}