Generalized 11D supergravity equations from tri-vector deformations

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 bas...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2023-01, Vol.83 (1), p.37-21, Article 37
Main Authors: Bakhmatov, Ilya, Çatal-Özer, Aybike, Deger, Nihat Sadik, Gubarev, Kirill, Musaev, Edvard T.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Coordinate transformations
Deformation
Elementary Particles
Field theory
Hadrons
Heavy Ions
Isomorphism
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Supergravity
Symmetry
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Summary: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.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-022-11163-6