Flux Quantization on M5-branes
arXiv:2406.11304 · doi:10.1007/JHEP10(2024)140
Abstract
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.
arXiv comment44 pages; v4: sign convention on covariant derivative changed, following ftn. 11 of arXiv:2403.16456; v3: published version, abstract shortened and typos fixed; v2: minor additions
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