Twisted eleven-dimensional supergravity

Abstract

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 $L_{\infty }$ central extension of the infinite-dimensional simple exceptional super Lie algebra $E(5,10)$, 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.

58 pages. Comments welcome!

References in corpus (11)

• Modeling Multiple M2's
• M-theory in the Omega-background and 5-dimensional non-commutative gauge theory
• Quantization of open-closed BCOV theory, I
• Sphere correlation functions and Verma modules
• Perspectives on the pure spinor superfield formalism
• Maximally twisted eleven-dimensional supergravity
• Giant gravitons in twisted holography
• Degenerate Classical Field Theories and Boundary Theories
• SL(5) supersymmetry
• Factorization Algebras for Bulk-Boundary Systems
• A domain wall in twisted M-theory

Cited by in corpus (4)

• Holomorphic boundary conditions for topological field theories via branes in twisted supergravity
• The Derived Pure Spinor Formalism as an Equivalence of Categories
• Holomorphic field theories and higher algebra
• Twisting BFSS & IKKT