Factorising the 3D topologically twisted index

We explore the path integration — upon the contour of hermitian (non-auxliary) field configurations — of topologically twisted N= 2 Chern-Simons-matter theory (TTCSM) on S2 times a segment. In this way, we obtain the formula for the 3D topologically twisted index, first as a convolution of TTCSM on...

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Detalles Bibliográficos
Publicado: 2017
Materias:
Chern-Simons Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n4_p_CaboBizet
http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n4_p_CaboBizet
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2017_n4_p_CaboBizet
record_format dspace
spelling paper:paper_11266708_v2017_n4_p_CaboBizet2023-06-08T16:08:53Z Factorising the 3D topologically twisted index Chern-Simons Theories Supersymmetric Gauge Theory Supersymmetry and Duality We explore the path integration — upon the contour of hermitian (non-auxliary) field configurations — of topologically twisted N= 2 Chern-Simons-matter theory (TTCSM) on S2 times a segment. In this way, we obtain the formula for the 3D topologically twisted index, first as a convolution of TTCSM on S2 times halves of S1, second as TTCSM on S2 times S1 — with a puncture, — and third as TTCSM on S2× S1. In contradistinction to the first two cases, in the third case, the vector multiplet auxiliary field D is constrained to be anti-hermitian. © 2017, The Author(s). 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n4_p_CaboBizet http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n4_p_CaboBizet
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
Supersymmetric Gauge Theory
Supersymmetry and Duality
spellingShingle Chern-Simons Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality
Factorising the 3D topologically twisted index
topic_facet Chern-Simons Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality
description We explore the path integration — upon the contour of hermitian (non-auxliary) field configurations — of topologically twisted N= 2 Chern-Simons-matter theory (TTCSM) on S2 times a segment. In this way, we obtain the formula for the 3D topologically twisted index, first as a convolution of TTCSM on S2 times halves of S1, second as TTCSM on S2 times S1 — with a puncture, — and third as TTCSM on S2× S1. In contradistinction to the first two cases, in the third case, the vector multiplet auxiliary field D is constrained to be anti-hermitian. © 2017, The Author(s).
title Factorising the 3D topologically twisted index
title_short Factorising the 3D topologically twisted index
title_full Factorising the 3D topologically twisted index
title_fullStr Factorising the 3D topologically twisted index
title_full_unstemmed Factorising the 3D topologically twisted index
title_sort factorising the 3d topologically twisted index
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n4_p_CaboBizet
http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n4_p_CaboBizet
_version_ 1768542233194135552

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