Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $$ \mathcal{N} $$ = 4 SYM theory

The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N ) are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof...

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Bibliographic Details
Published in:The journal of high energy physics 2019-08, Vol.2019 (8), Article 149
Main Authors: Canazas Garay, Anthonny F., Faraggi, Alberto, Mück, Wolfgang
Format: Article
Language:English
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Summary:The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N ) are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof of a recent observation by Okuyama. As a by-product, we present a new calculation of the connected 2-point correlator of multiplywound Wilson loops at leading order in 1/N.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2019)149