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Tri-vector deformations with external fluxes

Sergei Barakin, Kirill Gubarev, Edvard T. Musaev

Abstract

We extend the formalism of tri-vector deformations to the full SL(5) exceptional field theory with no truncation assumed thus covering 11D backgrounds of any form. We derive explicit transformation rules for 11D supergravity component fields and prove that these generate solutions given the same algebraic conditions hold: generalized Yang-Baxter equation and the unimodularity condition.

Tri-vector deformations with external fluxes

Abstract

We extend the formalism of tri-vector deformations to the full SL(5) exceptional field theory with no truncation assumed thus covering 11D backgrounds of any form. We derive explicit transformation rules for 11D supergravity component fields and prove that these generate solutions given the same algebraic conditions hold: generalized Yang-Baxter equation and the unimodularity condition.
Paper Structure (10 sections, 66 equations, 1 table)

This paper contains 10 sections, 66 equations, 1 table.

Table of Contents

  1. Introduction
  2. U-duality covariant form of 11D supergravity
  3. Decomposition 7+4 of 11D supergravity
  4. Exceptional Field Theory SL(5)
  5. Covariant field equations
  6. Three-vector deformations
  7. Sufficient conditions
  8. Explicit field transformations
  9. Summary and Discussion
  10. Index conventions