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

Research output: Contribution to journalArticlepeer-review

2 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 languageEnglish
Article number37
JournalEuropean Physical Journal C
Volume83
Issue number1
DOIs
Publication statusPublished - 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.

FundersFunder number
Abdus Salam International Centre for Theoretical Physics3.3
Russian Science FoundationRSCF-20-72-10144

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