3d modularity

3d modularity

Abstract We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d N $$ \mathcal{N} $$ = 2 theories where such structures a priori are not manifest. These modular structures include: mock modular forms, SL(2,ℤ) Weil r...

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Main Authors: Miranda C.N. Cheng, Sungbong Chun, Francesca Ferrari, Sergei Gukov, Sarah M. Harrison
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of High Energy Physics
Subjects:
Chern-Simons Theories
Conformal Field Theory
M-Theory
Nonperturba- tive Effects
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)010
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spelling doaj-da2d92a209984c3197345a81a8aa35542020-11-25T03:16:20ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191019510.1007/JHEP10(2019)0103d modularityMiranda C.N. Cheng0Sungbong Chun1Francesca Ferrari2Sergei Gukov3Sarah M. Harrison4Institute of Physics and Korteweg-de Vries Institute for Mathematics, University of AmsterdamWalter Burke Institute for Theoretical Physics, California Institute of TechnologyInstitute of Physics, University of AmsterdamWalter Burke Institute for Theoretical Physics, California Institute of TechnologyDepartment of Mathematics and Statistics and Department of Physics, McGill UniversityAbstract We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d N $$ \mathcal{N} $$ = 2 theories where such structures a priori are not manifest. These modular structures include: mock modular forms, SL(2,ℤ) Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.http://link.springer.com/article/10.1007/JHEP10(2019)010Chern-Simons TheoriesConformal Field TheoryM-TheoryNonperturba- tive Effects
collection DOAJ
language English
format Article
sources DOAJ
author Miranda C.N. Cheng
Sungbong Chun
Francesca Ferrari
Sergei Gukov
Sarah M. Harrison
spellingShingle Miranda C.N. Cheng
Sungbong Chun
Francesca Ferrari
Sergei Gukov
Sarah M. Harrison
3d modularity
Journal of High Energy Physics
Chern-Simons Theories
Conformal Field Theory
M-Theory
Nonperturba- tive Effects
author_facet Miranda C.N. Cheng
Sungbong Chun
Francesca Ferrari
Sergei Gukov
Sarah M. Harrison
author_sort Miranda C.N. Cheng
title 3d modularity
title_short 3d modularity
title_full 3d modularity
title_fullStr 3d modularity
title_full_unstemmed 3d modularity
title_sort 3d modularity
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-10-01
description Abstract We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d N $$ \mathcal{N} $$ = 2 theories where such structures a priori are not manifest. These modular structures include: mock modular forms, SL(2,ℤ) Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.
topic Chern-Simons Theories
Conformal Field Theory
M-Theory
Nonperturba- tive Effects
url http://link.springer.com/article/10.1007/JHEP10(2019)010
work_keys_str_mv AT mirandacncheng 3dmodularity
AT sungbongchun 3dmodularity
AT francescaferrari 3dmodularity
AT sergeigukov 3dmodularity
AT sarahmharrison 3dmodularity
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