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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Detalles Bibliográficos
Autores principales:	Bianchi, M.S., Giribet, G., Leonib, M., Penatic, S.
Formato:	JOUR
Materias:	Chern-Simons Theories Matrix Models Wilson 't Hooft and Polyakov loops
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_11266708_v2013_n10_p_Bianchi
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_11266708_v2013_n10_p_Bianchi
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spelling	todo:paper_11266708_v2013_n10_p_Bianchi2023-10-03T16:06:56Z The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details Bianchi, M.S. Giribet, G. Leonib, M. Penatic, S. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Bianchi, M.S. Giribet, G. Leonib, M. Penatic, S. 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.
format	JOUR
author	Bianchi, M.S. Giribet, G. Leonib, M. Penatic, S.
author_facet	Bianchi, M.S. Giribet, G. Leonib, M. Penatic, S.
author_sort	Bianchi, M.S.
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
url	http://hdl.handle.net/20.500.12110/paper_11266708_v2013_n10_p_Bianchi
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The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details

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