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

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.

arXiv comment20 pages, 4 figures; typos fixed, references added

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• Connected correlator of 1/2 BPS Wilson loops in $\mathcal{N}=4$ SYM
• Wilson loops in terms of color invariants
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory