Eleven-dimensional supergravity as a Calabi-Yau twofold
We construct a generalization of Poisson-Chern-Simons theory, defined on any supermanifold equipped with an appropriate filtration of the tangent bundle. Our construction recovers interacting eleven-dimensional supergravity in Cederwall’s formulation, as well as all possible twists of the theory, an...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2025
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| In: |
Selecta mathematica
Year: 2025, Volume: 31, Pages: 1-34 |
| ISSN: | 1420-9020 |
| DOI: | 10.1007/s00029-025-01024-x |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00029-025-01024-x
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| Author Notes: | Fabian Hahner, Ingmar Saberi |
| Summary: | We construct a generalization of Poisson-Chern-Simons theory, defined on any supermanifold equipped with an appropriate filtration of the tangent bundle. Our construction recovers interacting eleven-dimensional supergravity in Cederwall’s formulation, as well as all possible twists of the theory, and does so in a uniform and geometric fashion. Among other things, this proves that Costello’s description of the maximal twist is the twist of eleven-dimensional supergravity in its pure spinor description. It also provides a pure spinor lift of the interactions in the minimally twisted theory. Our techniques enhance the BV formulation of the interactions of each theory to a homotopy Poisson structure by defining a compatible graded-commutative product; this suggests interpretations in terms of deformations of geometric structures on superspace, and provides some concrete evidence for a first-quantized origin of the theories. |
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| Item Description: | Online veröffentlicht: 27. März 2025 Gesehen am 08.10.2025 |
| Physical Description: | Online Resource |
| ISSN: | 1420-9020 |
| DOI: | 10.1007/s00029-025-01024-x |