Coulomb and Higgs branches from canonical singularities. Part 0

Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant resolutions and deformations of the singularities. We propose a...

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المؤلفون الرئيسيون: Closset, C, Schafer-Nameki, S, Wang, Y-N
التنسيق: Journal article
اللغة:English
منشور في: Springer Science 2021
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author Closset, C
Schafer-Nameki, S
Wang, Y-N
author_facet Closset, C
Schafer-Nameki, S
Wang, Y-N
author_sort Closset, C
collection OXFORD
description Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant resolutions and deformations of the singularities. We propose a relation between the resulting moduli spaces, by compactifying the theories to 3d, followed by 3d N = 4 mirror symmetry and an S-type gauging of an abelian flavor symmetry. In particular, we use this correspondence to determine the Higgs branch of some 5d SCFTs and their magnetic quivers from the geometry. As an application of the general framework, we observe that singularities that engineer Argyres-Douglas theories in Type IIB also give rise to rank-0 5d SCFTs in M-theory. We also compute the higher-form symmetries of the 4d and 5d SCFTs, including the one-form symmetries of generalized Argyres-Douglas theories of type (G, G′).
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spelling oxford-uuid:3a814ecb-3f91-47fb-9bcd-96b7bda74fce2022-03-26T14:02:02ZCoulomb and Higgs branches from canonical singularities. Part 0Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3a814ecb-3f91-47fb-9bcd-96b7bda74fceEnglishSymplectic ElementsSpringer Science2021Closset, CSchafer-Nameki, SWang, Y-NFive- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant resolutions and deformations of the singularities. We propose a relation between the resulting moduli spaces, by compactifying the theories to 3d, followed by 3d N = 4 mirror symmetry and an S-type gauging of an abelian flavor symmetry. In particular, we use this correspondence to determine the Higgs branch of some 5d SCFTs and their magnetic quivers from the geometry. As an application of the general framework, we observe that singularities that engineer Argyres-Douglas theories in Type IIB also give rise to rank-0 5d SCFTs in M-theory. We also compute the higher-form symmetries of the 4d and 5d SCFTs, including the one-form symmetries of generalized Argyres-Douglas theories of type (G, G′).
spellingShingle Closset, C
Schafer-Nameki, S
Wang, Y-N
Coulomb and Higgs branches from canonical singularities. Part 0
title Coulomb and Higgs branches from canonical singularities. Part 0
title_full Coulomb and Higgs branches from canonical singularities. Part 0
title_fullStr Coulomb and Higgs branches from canonical singularities. Part 0
title_full_unstemmed Coulomb and Higgs branches from canonical singularities. Part 0
title_short Coulomb and Higgs branches from canonical singularities. Part 0
title_sort coulomb and higgs branches from canonical singularities part 0
work_keys_str_mv AT clossetc coulombandhiggsbranchesfromcanonicalsingularitiespart0
AT schafernamekis coulombandhiggsbranchesfromcanonicalsingularitiespart0
AT wangyn coulombandhiggsbranchesfromcanonicalsingularitiespart0