Published January 1, 2022 | Version v1
Journal article Open

Generalizing eleven-dimensional supergravity

  • 1. Institute of Theoretical and Mathematical Physics, Moscow State University, 119991 Moscow, Russia
  • 2. Department of Mathematics, Istanbul Technical University, 34469 Istanbul, Turkey
  • 3. Department of Mathematics, Bogazici University, Bebek, 34342 Istanbul, Turkey
  • 4. Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia

Description

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, which is the eleven-dimensional analog of the nonunimodularity Killing vector ${I}^{m}$ in ten dimensions.

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PhysRevD.105.L081904.pdf

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