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.
