Flux Quantization on 11-dimensional Superspace
arXiv:2403.16456 · doi:10.1007/JHEP07(2024)082
Abstract
Flux quantization of the C-field in 11d supergravity is arguably necessary for the (UV-)completion of the theory, in that it determines the torsion charges carried by small numbers of M-branes. However, hypotheses about C-field flux-quantization ("models of the C-field") have previously been discussed only in the bosonic sector of 11d supergravity and ignoring the supergravity equations of motion. Here we highlight a duality-symmetric formulation of on-shell 11d supergravity on superspace, observe that this naturally lends itself to completion of the theory by flux quantization, and indeed that 11d super-spacetimes are put on-shell by carrying quantizable duality-symmetric super-C-field flux; the proof of which we present in detail.
arXiv comment62 pages; v4: some minor cosmetic changes, such as changing the sign convention in the covariant derivative (cf. ft. 11); v3: added section 2.1.7 and various minor improvements, published version; v2: fixed lemma 2.48 and added lemma 3.6
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