Schreiber Flux Quantization on 11d Superspace

An article that we are finalizing at CQTS:

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• Grigorios Giotopoulos,$\;$ Hisham Sati $\;$and$\;$ Urs Schreiber:

  
  

  Super-Flux Quantization on 11d Superspace

  
  

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on flux quantization the C-field in D=11 N=1 supergravity on “superspace”.

download:

• main file:

  • pdf$\;\;$ (v3: factors in C-field energy-momentum tensor (168) fixed)

  • arXiv:2403.16456

• ancillary file:

  • nb$\;\;$ (Mathematica notebook with computer algebra checks)

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 $N \ll \infty$ 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.

Related articles:

• Flux Quantization

• Flux Quantization on Phase Space

• Introduction to Hypothesis H