Higher form symmetries, membranes and flux quantization

Higher Forms Symmetries (HFS) of a closed bosonic M2-brane theory formulated from the world-volume perspective on a compactified target space \(\mathcal{M}_9 \times T^2\) are obtained. We show that the cancellation of the 't Hooft anomaly present in the theory is related to a 3-form flux with 1...

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Bibliographic Details
Published inarXiv.org
Main Authors Caro-Perez, F, M P Garcia del Moral, Restuccia, A
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 31.10.2024
Subjects
Branes
Flux quantization
Operators (mathematics)
Topology
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Summary:Higher Forms Symmetries (HFS) of a closed bosonic M2-brane theory formulated from the world-volume perspective on a compactified target space \(\mathcal{M}_9 \times T^2\) are obtained. We show that the cancellation of the 't Hooft anomaly present in the theory is related to a 3-form flux with 1-gerbe structure associated to the world-volume flux quantization condition. A Wilson surface is naturally defined on the topological operator that characterize the holonomy of the M2-brane. The projection of the flux quantization condition onto the spatial part of the worldvolume, leads to a flux quantization on the M2-brane. The topological operators realise discrete symmetries associated with the winding and the flux/monopole condition. The algebra of operators is well defined.
ISSN:2331-8422