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  • Letter
  • Open Access

Generalizing eleven-dimensional supergravity

Ilya Bakhmatov*

Aybike Catal-Ozer†

Nihat Sadik Deger‡

Kirill Gubarev§ and Edvard T. Musaev∥

  • Institute of Theoretical and Mathematical Physics, Moscow State University, 119991 Moscow, Russia

  • Department of Mathematics, Istanbul Technical University, 34469 Istanbul, Turkey

  • Department of Mathematics, Bogazici University, Bebek, 34342 Istanbul, Turkey

  • Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia

  • *ibakhmatov@itmp.msu.ru
  • †ozerayb@itu.edu.tr
  • ‡sadik.deger@boun.edu.tr
  • §kirill.gubarev@phystech.edu
  • ∥musaev.et@phystech.edu
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Phys. Rev. D 105, L081904 – Published 27 April, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L081904

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, which is the eleven-dimensional analog of the nonunimodularity Killing vector Im in ten dimensions.

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Phys. Rev. D 105, L081904– Published 27 April, 2022
  • Received 7 March 2022
  • Accepted 10 April 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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