2-Group symmetries and M-theory

Quantum Field Theories engineered in M-theory can have 2-group symmetries, mixing 0-form and 1-form symmetry backgrounds in non-trivial ways. In this paper we develop methods for determining the 2-group structure from the boundary geometry of the M-theory background. We illustrate these methods in t...

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Main Authors: Del Zotto, M, Etxebarria, IG, Schäfer-Nameki, S
Format: Journal article
Language:English
Published: SciPost 2022
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author Del Zotto, M
Etxebarria, IG
Schäfer-Nameki, S
author_facet Del Zotto, M
Etxebarria, IG
Schäfer-Nameki, S
author_sort Del Zotto, M
collection OXFORD
description Quantum Field Theories engineered in M-theory can have 2-group symmetries, mixing 0-form and 1-form symmetry backgrounds in non-trivial ways. In this paper we develop methods for determining the 2-group structure from the boundary geometry of the M-theory background. We illustrate these methods in the case of 5d theories arising from M-theory on ordinary and generalised toric Calabi-Yau cones, including cases in which the resulting theory is non-Lagrangian. Our results confirm and elucidate previous results on 2-groups from geometric engineering.
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spelling oxford-uuid:33a6be83-e97c-4631-a5c3-c7dd46d98c552023-04-12T15:48:50Z2-Group symmetries and M-theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:33a6be83-e97c-4631-a5c3-c7dd46d98c55EnglishSymplectic ElementsSciPost2022Del Zotto, MEtxebarria, IGSchäfer-Nameki, SQuantum Field Theories engineered in M-theory can have 2-group symmetries, mixing 0-form and 1-form symmetry backgrounds in non-trivial ways. In this paper we develop methods for determining the 2-group structure from the boundary geometry of the M-theory background. We illustrate these methods in the case of 5d theories arising from M-theory on ordinary and generalised toric Calabi-Yau cones, including cases in which the resulting theory is non-Lagrangian. Our results confirm and elucidate previous results on 2-groups from geometric engineering.
spellingShingle Del Zotto, M
Etxebarria, IG
Schäfer-Nameki, S
2-Group symmetries and M-theory
title 2-Group symmetries and M-theory
title_full 2-Group symmetries and M-theory
title_fullStr 2-Group symmetries and M-theory
title_full_unstemmed 2-Group symmetries and M-theory
title_short 2-Group symmetries and M-theory
title_sort 2 group symmetries and m theory
work_keys_str_mv AT delzottom 2groupsymmetriesandmtheory
AT etxebarriaig 2groupsymmetriesandmtheory
AT schafernamekis 2groupsymmetriesandmtheory