Generalized 11D supergravity equations from tri-vector deformations

Abstract

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.

v3, refs added, minor corrections

References in corpus (11)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Gauged Double Field Theory
• Exceptional field theory: $SO(5,5)$
• Finite Gauge Transformations and Geometry in Double Field Theory
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
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• Generalizing eleven-dimensional supergravity

Cited by in corpus (7)

• Tri-vector deformations on compact isometries
• Polyvector deformations of Type IIB backgrounds
• Integrability structures in string theory
• Tri-vector deformations with external fluxes
• SUSY and tri-vector deformations
• Exotic potentials and Bianchi identities in SL(5) exceptional field theory
• Yang-Baxter structure of the extended space