Generalized 11D supergravity equations from tri-vector deformations

Ilya Bakhmatov; Aybike Çatal-Özer; Nihat Sadik Deger; Kirill Gubarev; Edvard T. Musaev

doi:10.1140/epjc/s10052-022-11163-6

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 37
https://doi.org/10.1140/epjc/s10052-022-11163-6

Regular Article - Theoretical Physics

Generalized 11D supergravity equations from tri-vector deformations

Ilya Bakhmatov¹^,4, Aybike Çatal-Özer², Nihat Sadik Deger³, Kirill Gubarev⁴ and Edvard T. Musaev⁴^e

¹ Institute of Theoretical and Mathematical Physics, Moscow State University, 119991, Leninskie Gory, Moscow, Russia
² Department of Mathematics, Istanbul Technical University, Maslak, 34469, Istanbul, Turkey
³ Department of Mathematics, Bogazici University, Bebek, 34342, Istanbul, Turkey
⁴ Moscow Institute of Physics and Technology, Institutskii pereulok 9, 141700, Dolgoprudny, Russia

^e musaev.et@phystech.edu

Received: 22 September 2022
Accepted: 22 December 2022
Published online: 18 January 2023

Abstract

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.

© The Author(s) 2023

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