On the D5-brane description of 1 4 $$ \frac{1}{4} $$ -BPS Wilson loops in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory

Abstract We construct the probe D5-brane solution in AdS 5 × S 5 dual to the 1 4 $$ \frac{1}{4} $$ -BPS latitude Wilson loop in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory in the k-antisymmetric representation of SU(N). The solution is exact in the latitude parameter θ 0 and correctly reproduces...

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Bibliographic Details
Published in:The journal of high energy physics 2024-07, Vol.2024 (7), p.1-22
Main Authors: Alberto Faraggi, Cristóbal Moreno
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
D-Branes
Supersymmetric Gauge Theory
Wilson, ’t Hooft and Polyakov loops
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Summary:Abstract We construct the probe D5-brane solution in AdS 5 × S 5 dual to the 1 4 $$ \frac{1}{4} $$ -BPS latitude Wilson loop in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory in the k-antisymmetric representation of SU(N). The solution is exact in the latitude parameter θ 0 and correctly reproduces the 1 2 $$ \frac{1}{2} $$ -BPS limit. We compute the string charge k and the renormalized on-shell action perturbatively to order O θ 0 10 $$ \mathcal{O}\left({\theta}_0^{10}\right) $$ and find full agreement with the expectation value of the Wilson loop predicted by the Gaussian matrix model in the limit N ∼ k → ∞, λ → ∞.
ISSN:1029-8479
DOI:10.1007/JHEP07(2024)131