Flux Quantization on 11-dimensional Superspace

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.

62 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

References in corpus (8)

• Generalised Geometry for M-Theory
• The Uncertainty of Fluxes
• The Rational Higher Structure of M-theory
• Basics of M-Theory
• Geometrical Foundations of Cartan Gauge Gravity
• Flux Quantization on Phase Space
• Corners in M-theory
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity

Cited by in corpus (9)

• Flux Quantization on M5-branes
• Quantum Observables of Quantized Fluxes
• Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization
• Unfolding $E_{11}$
• Engineering of Anyons on M5-Probes via Flux Quantization
• Holographic M-Brane Super-Embeddings
• The M-algebra completes the hierarchy of Super-Exceptional Tangent Spaces
• Gauge potentials on the M5 brane in twisted equivariant cohomotopy
• Flux Quantization on M-Strings