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Flux Quantization on M5-branes

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arxiv 2406.11304 v4 pith:BQ2AVQZT submitted 2024-06-17 hep-th math-phmath.DGmath.MP

Grigorios Giotopoulos , Hisham Sati , Urs Schreiber This is my paper · ORCID
classification hep-thmath-phmath.DGmath.MP
keywords fluxco-homotopyflux-quantizationm5-branespointquantizationsolitonsworldvolume
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We highlight the need for global completion of the field content in the M5-brane sigma-model analogous to Dirac's charge/flux quantization, and we point out that the superspace Bianchi identities on the worldvolume and on its ambient supergravity background constrain the M5's flux-quantization law to be in a non-abelian cohomology theory rationally equivalent to a twisted form of co-Homotopy. In order to clearly bring out this subtle point we give a streamlined re-derivation of the worldvolume 3-flux via M5 "super-embeddings". Finally, assuming the flux-quantization law to actually be in co-Homotopy ("Hypothesis H") we show how this implies Skyrmion-like solitons on general M5-worldvolumes and (abelian) anyonic solitons on the boundaries of "open M5-branes" in heterotic M-theory.

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