• Corpus ID: 242758445

Twisted eleven-dimensional supergravity

@inproceedings{Raghavendran2021TwistedES,
  title={Twisted eleven-dimensional supergravity},
  author={Surya Raghavendran and Ingmar Saberi and Brian R. Williams},
  year={2021}
}

• Surya Raghavendran, Ingmar Saberi, B. Williams
• Published 4 November 2021
• Mathematics

We construct a fully interacting holomorphic/topological theory in eleven dimensions that is defined on products of Calabi–Yau fivefolds with real one-manifolds. The theory describes a particular deformation of the cotangent bundle to the moduli space of Calabi–Yau structures on the fivefold. Its field content matches the holomorphic (or minimal) twist of the eleven-dimensional supergravity multiplet recently computed by the second two authors, and we offer numerous consistency checks showing that the interactions correctly describe interacting twisted eleven-dimensional supergravity at the perturbative level. We prove that the global symmetry algebra of our model on flat space is an L8 central extension of the infinitedimensional simple exceptional super Lie algebra Ep5, 10q, following a recent suggestion of Cederwall in the context of the relevant pure spinor model. Twists of superconformal algebras map to the fields of our model on the complement of a stack of M2 or M5 branes, laying the groundwork for a fully holomorphic version of twisted holography in this context. E-mail addresses: [e-mail], [e-mail], [e-mail]. 1 ar X iv :2 11 1. 03 04 9v 1 [ m at hph ] 4 N ov 2 02 1