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

Resultado de la investigación: Contribución a una revista › Artículo › revisión exhaustiva

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Resumen

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.

Idioma original	Inglés
Número de artículo	149
Publicación	Journal of High Energy Physics
Volumen	2019
N.º	8
DOI	https://doi.org/10.1007/JHEP08(2019)149
Estado	Publicada - 1 ago. 2019

Áreas temáticas de ASJC Scopus

Física nuclear y de alta energía

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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",

author = "{Canazas Garay}, {Anthonny F.} and Alberto Faraggi and Wolfgang M{\"u}ck",

note = "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: {\textcopyright} 2019, The Author(s).",

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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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DO - 10.1007/JHEP08(2019)149

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

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

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