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Flux Quantization on 11-dimensional Superspace

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arxiv 2403.16456 v4 pith:AOVBX73S submitted 2024-03-25 hep-th gr-qcmath-phmath.ATmath.DGmath.MP

classification hep-thgr-qcmath-phmath.ATmath.DGmath.MP
keywords fluxsupergravityc-fieldquantizationcompletionduality-symmetricon-shellsuperspace
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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.

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Cited by 4 Pith papers

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    Introduces (-2)-form symmetries that modify the SymTFT action to relate QFTs differing by anomaly data or non-invertible symmetry associators, illustrated in 2D-4D models, fusion categories, club-sandwich RG flows, an...

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    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

  3. Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    The M-algebra is shown to be the brane-charge completion of the fully T-doubled super-spacetime, with the Poincaré super 2-form of T-duality lifted to a Poincaré super 3-form.

  4. Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization

    hep-th 2024-11 conditional novelty 4.0 of 10

    Choosing equivariant twistorial Cohomotopy as the flux quantization law on single M5-probes wrapped on a Z2-orbifold yields abelian anyonic quantum states on the orbifold fixed locus.

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