The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories

In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector an...

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Autores principales:	Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D.
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_v2016_n9_p_Bianchi
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_11266708_v2016_n9_p_Bianchi
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spelling	todo:paper_11266708_v2016_n9_p_Bianchi2023-10-03T16:07:30Z The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories Bianchi, M.S. Griguolo, L. Leoni, M. Mauri, A. Penati, S. Seminara, D. Chern-Simons Theories Matrix Models Wilson, ’t Hooft and Polyakov loops In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones. © 2016, The Author(s). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n9_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. Griguolo, L. Leoni, M. Mauri, A. Penati, S. Seminara, D. The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
topic_facet	Chern-Simons Theories Matrix Models Wilson, ’t Hooft and Polyakov loops
description	In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones. © 2016, The Author(s).
format	JOUR
author	Bianchi, M.S. Griguolo, L. Leoni, M. Mauri, A. Penati, S. Seminara, D.
author_facet	Bianchi, M.S. Griguolo, L. Leoni, M. Mauri, A. Penati, S. Seminara, D.
author_sort	Bianchi, M.S.
title	The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_short	The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_full	The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_fullStr	The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_full_unstemmed	The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_sort	quantum 1/2 bps wilson loop in n= 4 chern-simons-matter theories
url	http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n9_p_Bianchi
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The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories

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