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Higher-form symmetries in 5d

Abstract:
We study higher-form symmetries in 5d quantum field theories, whose charged operators include extended operators such as Wilson line and ’t Hooft operators. We outline criteria for the existence of higher-form symmetries both from a field theory point of view as well as from the geometric realization in M-theory on non-compact Calabi-Yau threefolds. A geometric criterion for determining the higher-form symmetry from the intersection data of the Calabi-Yau is provided, and we test it in a multitude of examples, including toric geometries. We further check that the higher-form symmetry is consistent with dualities and is invariant under flop transitions, which relate theories with the same UV-fixed point. We explore extensions to higher-form symmetries in other compactifications of M-theory, such as G2-holonomy manifolds, which give rise to 4d  = 1 theories.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP09(2020)024

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-0138-0407


Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2020
Issue:
9
Article number:
24
Publication date:
2020-09-03
Acceptance date:
2020-08-03
DOI:
EISSN:
1029-8479
ISSN:
1126-6708


Language:
English
Keywords:
Pubs id:
1109706
Local pid:
pubs:1109706
Deposit date:
2020-09-09
ARK identifier:

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