Trialities of minimally supersymmetric 2d gauge theories

Trialities of minimally supersymmetric 2d gauge theories

Abstract We study dynamics of two-dimensional N $$ \mathcal{N} $$ = (0, 1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of theories with orthogonal and symplectic gauge groups. The proposal is supported by matching of anomalies a...

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Main Authors: Sergei Gukov, Du Pei, Pavel Putrov
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of High Energy Physics
Subjects:
Anomalies in Field and String Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality
Sigma Models
Online Access:http://link.springer.com/article/10.1007/JHEP04(2020)079
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spelling doaj-2e68fa4fb79345438ed128cc1833768d2020-11-25T02:24:42ZengSpringerOpenJournal of High Energy Physics1029-84792020-04-012020413410.1007/JHEP04(2020)079Trialities of minimally supersymmetric 2d gauge theoriesSergei Gukov0Du Pei1Pavel Putrov2Walter Burke Institute for Theoretical Physics, California Institute of TechnologyCenter for Mathematical Sciences and Applications, Harvard UniversityAbdus Salam International Centre for Theoretical Physics (ICTP)Abstract We study dynamics of two-dimensional N $$ \mathcal{N} $$ = (0, 1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of theories with orthogonal and symplectic gauge groups. The proposal is supported by matching of anomalies and elliptic genera. This triality can be viewed as a (0, 1) counterpart of the (0, 2) triality proposed earlier by two of the authors and A. Gadde. We also describe the relation between global anomalies in gauge theoretic and sigma-model descriptions, filling in a gap in the present literature.http://link.springer.com/article/10.1007/JHEP04(2020)079Anomalies in Field and String TheoriesSupersymmetric Gauge TheorySupersymmetry and DualitySigma Models
collection DOAJ
language English
format Article
sources DOAJ
author Sergei Gukov
Du Pei
Pavel Putrov
spellingShingle Sergei Gukov
Du Pei
Pavel Putrov
Trialities of minimally supersymmetric 2d gauge theories
Journal of High Energy Physics
Anomalies in Field and String Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality
Sigma Models
author_facet Sergei Gukov
Du Pei
Pavel Putrov
author_sort Sergei Gukov
title Trialities of minimally supersymmetric 2d gauge theories
title_short Trialities of minimally supersymmetric 2d gauge theories
title_full Trialities of minimally supersymmetric 2d gauge theories
title_fullStr Trialities of minimally supersymmetric 2d gauge theories
title_full_unstemmed Trialities of minimally supersymmetric 2d gauge theories
title_sort trialities of minimally supersymmetric 2d gauge theories
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-04-01
description Abstract We study dynamics of two-dimensional N $$ \mathcal{N} $$ = (0, 1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of theories with orthogonal and symplectic gauge groups. The proposal is supported by matching of anomalies and elliptic genera. This triality can be viewed as a (0, 1) counterpart of the (0, 2) triality proposed earlier by two of the authors and A. Gadde. We also describe the relation between global anomalies in gauge theoretic and sigma-model descriptions, filling in a gap in the present literature.
topic Anomalies in Field and String Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality
Sigma Models
url http://link.springer.com/article/10.1007/JHEP04(2020)079
work_keys_str_mv AT sergeigukov trialitiesofminimallysupersymmetric2dgaugetheories
AT dupei trialitiesofminimallysupersymmetric2dgaugetheories
AT pavelputrov trialitiesofminimallysupersymmetric2dgaugetheories
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