Generalizing eleven-dimensional supergravity

Ilya Bakhmatov (Institute of Theoretical and Mathematical Physics, Moscow State University, 119991 Moscow, Russia) ; Aybike Catal-Ozer (Department of Mathematics, Istanbul Technical University, 34469 Istanbul, Turkey) ; Nihat Sadik Deger (Department of Mathematics, Bogazici University, Bebek, 34342 Istanbul, Turkey) ; Kirill Gubarev (Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia) ; Edvard T. Musaev (Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia)

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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      "value": "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 <math><msup><mi>I</mi><mi>m</mi></msup></math> in ten dimensions."
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Published on:
27 April 2022
Publisher:
APS
Published in:
Physical Review D , Volume 105 (2022)
Issue 8
DOI:
https://doi.org/10.1103/PhysRevD.105.L081904
arXiv:
2203.03372
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: