Generalized 11D supergravity equations from tri-vector deformations

Ilya Bakhmatov (Institute of Theoretical and Mathematical Physics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia; Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny, 141700, Russia) ; Aybike Çatal-Özer (Department of Mathematics, Istanbul Technical University, Maslak, Istanbul, 34469, Turkey) ; Nihat Deger (Department of Mathematics, Bogazici University, Bebek, Istanbul, 34342, Turkey) ; Kirill Gubarev (Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny, 141700, Russia) ; Edvard Musaev (Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny, 141700, Russia)

In Bakhmatov et al. (Phys. Rev. D 105(8): L081904, 2022) we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dimensions. In this paper we provide full technical details of that result which is based on SL(5) exceptional field theory. The equations are obtained by making a non-unimodular tri-vector Yang-Baxter deformation which breaks the initial local diffeomorphism symmetry in 11 dimensions down to separate coordinate transformations in external 7 and internal 4 directions. We also give some non-trivial solutions to these equations.

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      "surname": "\u00c7atal-\u00d6zer", 
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Published on:
18 January 2023
Publisher:
Springer
Published in:
European Physical Journal C , Volume 83 (2023)
Issue 1
Pages 1-21
DOI:
https://doi.org/10.1140/epjc/s10052-022-11163-6
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: