Generalizing eleven-dimensional supergravity

Ilya Bakhmatov, Aybike Catal-Ozer, Nihat Sadik Deger, Kirill Gubarev, Edvard T. Musaev

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Article numberL081904
JournalPhysical Review D
Issue number8
Publication statusPublished - 15 Apr 2022

Bibliographical note

Publisher Copyright:
© 2022 authors. Published by the American Physical Society.


This work has been supported by Russian Science Foundation Grant No. RSCF-20-72-10144. We would like to thank Gleb Arutyunov and David Berman for useful comments. N. S. D. and E. T. M. are grateful to Albert-Einstein-Institute, Potsdam, where this work was initiated. We thank Istanbul Center for Mathematical Sciences, Istanbul for hospitality during the final phase of this work.

FundersFunder number
Russian Science FoundationRSCF-20-72-10144


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