Framing and localization in Chern-Simons theories with matter

Abstract: Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise. We investigate this problem by studying the expec...

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Detalles Bibliográficos
Publicado: 2016
Materias:
AdS-CFT Correspondence
Chern-Simons Theories
Supersymmetric gauge theory
Wilson
’t Hooft and Polyakov loops
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n6_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n6_p_Bianchi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2016_n6_p_Bianchi
record_format dspace
spelling paper:paper_11266708_v2016_n6_p_Bianchi2023-06-08T16:08:46Z Framing and localization in Chern-Simons theories with matter AdS-CFT Correspondence Chern-Simons Theories Supersymmetric gauge theory Wilson ’t Hooft and Polyakov loops Abstract: Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise. We investigate this problem by studying the expectation value of the 1/6 BPS Wilson loop in planar ABJ(M) theory at three loops in perturbation theory. We reproduce the corresponding term in the localization result and argue that it originates entirely from a non-trivial framing of the circular contour. Contrary to pure Chern-Simons theory, we point out that for ABJ(M) the framing phase is a non-trivial function of the couplings and that it potentially receives contributions from vertex-like diagrams. Finally, we briefly discuss the intimate link between the exact framing factor and the Bremsstrahlung function of the 1/2-BPS cusp. © 2016, The Author(s). 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n6_p_Bianchi http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n6_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 AdS-CFT Correspondence
Chern-Simons Theories
Supersymmetric gauge theory
Wilson
’t Hooft and Polyakov loops
spellingShingle AdS-CFT Correspondence
Chern-Simons Theories
Supersymmetric gauge theory
Wilson
’t Hooft and Polyakov loops
Framing and localization in Chern-Simons theories with matter
topic_facet AdS-CFT Correspondence
Chern-Simons Theories
Supersymmetric gauge theory
Wilson
’t Hooft and Polyakov loops
description Abstract: Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise. We investigate this problem by studying the expectation value of the 1/6 BPS Wilson loop in planar ABJ(M) theory at three loops in perturbation theory. We reproduce the corresponding term in the localization result and argue that it originates entirely from a non-trivial framing of the circular contour. Contrary to pure Chern-Simons theory, we point out that for ABJ(M) the framing phase is a non-trivial function of the couplings and that it potentially receives contributions from vertex-like diagrams. Finally, we briefly discuss the intimate link between the exact framing factor and the Bremsstrahlung function of the 1/2-BPS cusp. © 2016, The Author(s).
title Framing and localization in Chern-Simons theories with matter
title_short Framing and localization in Chern-Simons theories with matter
title_full Framing and localization in Chern-Simons theories with matter
title_fullStr Framing and localization in Chern-Simons theories with matter
title_full_unstemmed Framing and localization in Chern-Simons theories with matter
title_sort framing and localization in chern-simons theories with matter
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n6_p_Bianchi
http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n6_p_Bianchi
_version_ 1768546314652483584

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