Flux Quantization on 11-dimensional Superspace
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910923456774144 |
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| author | Giotopoulos, Grigorios Sati, Hisham Schreiber, Urs |
| author_facet | Giotopoulos, Grigorios Sati, Hisham Schreiber, Urs |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_16456 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flux Quantization on 11-dimensional Superspace Giotopoulos, Grigorios Sati, Hisham Schreiber, Urs High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Algebraic Topology Differential Geometry 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. |
| title | Flux Quantization on 11-dimensional Superspace |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Algebraic Topology Differential Geometry |
| url | https://arxiv.org/abs/2403.16456 |