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25 April 2024

» arxiv » 1709.3569

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Strings in Bubbling Geometries and Dual Wilson Loop Correlators
Jeremías Aguilera-Damia ; Diego H. Correa ; Francesco Fucito ; Victor I. Giraldo-Rivera ; Jose F. Morales ; Leopoldo A. Pando Zayas ;
Date:	11 Sep 2017
Abstract:	We consider a fundamental string in the bubbling geometry dual to a half-supersymmetric Wilson loop in a general large representation $mathbf{R}$ of the $SU(N)$ gauge group in ${cal N}=4$ Supersymmetric Yang-Mills. We show explicitly for a bubbling geometry specified by an elliptic curve that the minimum value of the fundamental string classical action precisely matches the correlator of a Wilson loop in the fundamental representation and one in a representation determined by a large rectangular Young tableau. We also present explicit results in the field theory for a correlator of two Wilson loops; a large one in an arbitrary representation and a "small" one in the fundamental, totally symmetric or totally antisymmetric representation.
Source:	arXiv, 1709.3569
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