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

Generalized 11D supergravity equations from tri-vector deformations

Ilya Bakhmatov, Aybike Çatal-Özer, Nihat Sadik Deger, Kirill Gubarev, Edvard T. Musaev^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Article number	37
Journal	European Physical Journal C
Volume	83
Issue number	1
DOIs	https://doi.org/10.1140/epjc/s10052-022-11163-6
Publication status	Published - Jan 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).

Funding

This work has been supported by Russian Science Foundation grant RSCF-20-72-10144. NSD would like to acknowledge support from the ICTP through the Associates Programme (2017–2022) of the work covered partly in Sect. and Sect. . This work has been supported by Russian Science Foundation grant RSCF-20-72-10144. NSD would like to acknowledge support from the ICTP through the Associates Programme (2017–2022) of the work covered partly in Sect. 1 and Sect. 3.3.

Funders	Funder number
Abdus Salam International Centre for Theoretical Physics	3.3
Russian Science Foundation	RSCF-20-72-10144

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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.",

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AU - Çatal-Özer, Aybike

AU - Deger, Nihat Sadik

AU - Gubarev, Kirill

AU - Musaev, Edvard T.

PY - 2023/1

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AB - 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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Generalized 11D supergravity equations from tri-vector deformations

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