Antisymmetric Wilson loops in N= 4 SYM: from exact results to non-planar corrections

Anthonny F. Canazas Garay; Alberto Faraggi; Wolfgang Mück

doi:10.1007/JHEP08(2018)149

Antisymmetric Wilson loops in N= 4 SYM: from exact results to non-planar corrections

Anthonny F. Canazas Garay, Alberto Faraggi, Wolfgang Mück

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7 Citations (Scopus)

Abstract

We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.

Original language	English
Article number	149
Journal	Journal of High Energy Physics
Volume	2018
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2018)149
Publication status	Published - 1 Aug 2018

Keywords

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

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP08(2018)149

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title = "Antisymmetric Wilson loops in N= 4 SYM: from exact results to non-planar corrections",

abstract = "We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed {\textquoteright}t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.",

keywords = "1/N Expansion, AdS-CFT Correspondence, Matrix Models, Wilson, {\textquoteright}t Hooft and Polyakov loops",

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

note = "Funding Information: Article funded by SCOAP3. Publisher Copyright: {\textcopyright} 2018, The Author(s).",

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T2 - from exact results to non-planar corrections

AU - Canazas Garay, Anthonny F.

AU - Faraggi, Alberto

AU - Mück, Wolfgang

PY - 2018/8/1

Y1 - 2018/8/1

N2 - We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.

AB - We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.

KW - 1/N Expansion

KW - AdS-CFT Correspondence

KW - Matrix Models

KW - Wilson, ’t Hooft and Polyakov loops

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DO - 10.1007/JHEP08(2018)149

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VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

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Antisymmetric Wilson loops in N= 4 SYM: from exact results to non-planar corrections

Abstract

Keywords

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