The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details

We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to no...

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Autor principal: Giribet, Gastón Enrique
Publicado: 2013
Materias:
Chern-Simons Theories
Matrix Models
Wilson 't Hooft and Polyakov loops
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2013_n10_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2013_n10_p_Bianchi
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_11266708_v2013_n10_p_Bianchi2023-06-08T16:08:20Z The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details Giribet, Gastón Enrique Chern-Simons Theories Matrix Models Wilson 't Hooft and Polyakov loops We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framingoneexpressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation. © SISSA 2013. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2013_n10_p_Bianchi http://hdl.handle.net/20.500.12110/paper_11266708_v2013_n10_p_Bianchi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Chern-Simons Theories
Matrix Models
Wilson 't Hooft and Polyakov loops
spellingShingle Chern-Simons Theories
Matrix Models
Wilson 't Hooft and Polyakov loops
Giribet, Gastón Enrique
The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
topic_facet Chern-Simons Theories
Matrix Models
Wilson 't Hooft and Polyakov loops
description We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framingoneexpressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation. © SISSA 2013.
author Giribet, Gastón Enrique
author_facet Giribet, Gastón Enrique
author_sort Giribet, Gastón Enrique
title The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_short The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_full The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_fullStr The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_full_unstemmed The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
title_sort 1/2 bps wilson loop in abj(m) at two loops: the details
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2013_n10_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2013_n10_p_Bianchi
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