Journal of High Energy Physics (Jul 2024)

Flux quantization on 11-dimensional superspace

  • Grigorios Giotopoulos,
  • Hisham Sati,
  • Urs Schreiber

DOI
https://doi.org/10.1007/JHEP07(2024)082
Journal volume & issue
Vol. 2024, no. 7
pp. 1 – 87

Abstract

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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.

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