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 Jmn which is the eleven-dimensional analog of the non-unimodularity Killing vector Im in ten dimensions.

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