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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Detalles Bibliográficos
Publicado: 2016
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_v2016_n9_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n9_p_Bianchi
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2016_n9_p_Bianchi
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spelling paper:paper_11266708_v2016_n9_p_Bianchi2023-06-08T16:08:48Z The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories 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). 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n9_p_Bianchi 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
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).
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
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n9_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n9_p_Bianchi
_version_ 1768542189800914944

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