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

  • Anthonny F. Canazas Garay
  • Alberto Faraggi
  • Wolfgang MückEmail author
Open Access
Regular Article - Theoretical Physics

Abstract

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.

Keywords

1/N Expansion AdS-CFT Correspondence Wilson ’t Hooft and Polyakov loops 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Instituto de Física, Pontificia Universidad Católica de ChileSantiagoChile
  2. 2.Departamento de Ciencias Fisicas, Facultad de Ciencias ExactasUniversidad Andres BelloSantiagoChile
  3. 3.Dipartimento di Fisica “Ettore Pancini”Università degli Studi di Napoli “Federico II”NapoliItaly
  4. 4.INFN — Sezione di NapoliNapoliItaly

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