5 research outputs found
Integrability structures in string theory
This review is a collection of various methods and observations relevant to
structures in three-dimensional systems similar to those responsible for
integrability of two-dimensional systems. Particular focus is given to Nambu
structures and loop variables naturally appearing in membrane dynamics. While
reviewing each topic in more details we emphasize connections between them and
speculate on possible relations to membrane integrability.Comment: v2: refs adde
Generalized 11D supergravity equations from tri-vector deformations
In arXiv:2203.03372 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 GL(11) symmetry down to
GL(7)xGL(4). We also give some non-trivial solutions to these equations.Comment: v3, refs added, minor correction
Generalizing eleven-dimensional supergravity
We develop a procedure to reproduce the ten-dimensional generalized
supergravity equations from T-duality covariant equations, that facilitates
generalization to U-duality covariant formulations of eleven-dimensional
supergravity. The latter leads to a modification of the eleven-dimensional
supergravity equations with terms that contain a rank-2 tensor field
which is the eleven-dimensional analog of the non-unimodularity Killing vector
in ten dimensions.Comment: 13 page
Generalized 11D supergravity equations from tri-vector deformations
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