Flux quantization on 11-dimensional superspace

Author:

Giotopoulos GrigoriosORCID,Sati HishamORCID,Schreiber UrsORCID

Abstract

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 N ≪ ∞ 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.

Publisher

Springer Science and Business Media LLC

Reference179 articles.

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4. Ancillary Mathematica notebook with computer calculations referred to in the text: https://ncatlab.org/schreiber/show/Super-Flux+Quantization+on+11d+Superspace#AncillaryFiles.

5. L. Andrianopoli, R. D’Auria and L. Ravera, Hidden Gauge Structure of Supersymmetric Free Differential Algebras, JHEP 08 (2016) 095 [arXiv:1606.07328] [INSPIRE].

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