Flux Quantization on Phase Space

Sati, Hisham; Schreiber, Urs

doi:10.1007/s00023-024-01438-x

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2024

2025

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Cited by 5 publications

References 64 publications

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Flux quantization on 11-dimensional superspace

Giotopoulos,

Sati,

Schreiber

2024

J. High Energ. Phys.

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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 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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Flux quantization on 11-dimensional superspace

Giotopoulos,

Sati,

Schreiber

2024

J. High Energ. Phys.

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Flux quantization on M5-branes

Giotopoulos,

Sati,

Schreiber

2024

J. High Energ. Phys.

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We highlight the need for global completion of the field content in the M5-brane sigma-model analogous to Dirac’s charge/flux quantization, and we point out that the superspace Bianchi identities on the worldvolume and on its ambient supergravity background constrain the M5’s flux-quantization law to be in a non-abelian cohomology theory rationally equivalent to a twisted form of co-Homotopy. In order to clearly bring out this subtle point we give a streamlined re-derivation of the worldvolume 3-flux via M5 “super-embeddings”. Finally, assuming the flux-quantization law to actually be in co-Homotopy (“Hypothesis H”) we show how this implies Skyrmion-like solitons on general M5-worldvolumes and (abelian) anyonic solitons on the boundaries of “open M5-branes” in heterotic M-theory.

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Quantum Observables of Quantized Fluxes

Sati,

Schreiber

2024

Ann. Henri Poincaré

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Flux Quantization on Phase Space

Cited by 5 publications

References 64 publications

Flux quantization on 11-dimensional superspace

Flux quantization on 11-dimensional superspace

Flux quantization on M5-branes

Quantum Observables of Quantized Fluxes

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