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

Anthonny F. Canazas Garay; Alberto Faraggi; Wolfgang Mück

doi:10.1007/JHEP08(2019)149

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

Anthonny F. Canazas Garay, Alberto Faraggi, Wolfgang Mück

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Article number	149
Journal	Journal of High Energy Physics
Volume	2019
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2019)149
Publication status	Published - 1 Aug 2019

Keywords

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

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP08(2019)149

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title = "Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N = 4 SYM theory",

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, {\textquoteright}t Hooft and Polyakov loops",

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AU - Canazas Garay, Anthonny F.

AU - Faraggi, Alberto

AU - Mück, Wolfgang

N1 - Funding Information: 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 Publisher Copyright: © 2019, The Author(s).

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N2 - 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.

AB - 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.

KW - 1/N Expansion

KW - AdS-CFT Correspondence

KW - Wilson

KW - ’t Hooft and Polyakov loops

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JO - Journal of High Energy Physics

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ER -

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

Abstract

Keywords

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