Generalizing eleven-dimensional supergravity

Abstract

We develop a procedure to reproduce the ten-dimensional generalized supergravity equations from T-duality covariant equations, that facilitates generalization to U-duality covariant formulations of eleven-dimensional supergravity. The latter leads to a modification of the eleven-dimensional supergravity equations with terms that contain a rank-2 tensor field $J^{mn}$ which is the eleven-dimensional analog of the non-unimodularity Killing vector $I^m$ in ten dimensions.

13 pages

References in corpus (3)

• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• Polyvector deformations in eleven-dimensional supergravity
• Generalized Supergravity Equations and Generalized Fradkin-Tseytlin Counterterm

Cited by in corpus (7)

• Generalized 11D supergravity equations from tri-vector deformations
• Tri-vector deformations on compact isometries
• Polyvector deformations of Type IIB backgrounds
• Integrability structures in string theory
• Exotic potentials and Bianchi identities in SL(5) exceptional field theory
• Tri-vector deformations with external fluxes
• SUSY and tri-vector deformations