Tri-vector deformations in d = 11 supergravity

Ilya Bakhmatov, Nihat Sadik Deger, Edvard T. Musaev, Eoin Colgáin, Mohammad M. Sheikh-Jabbari

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

We construct a d = 11 supergravity analogue of the open-closed string map in the context of SL(5) Exceptional Field Theory (ExFT). The deformation parameter tri-vector Ω generalizes the non-commutativity bi-vector parameter Θ of the open string. When applied to solutions in d = 11, this map provides an economical way of performing TsT deformations, and may be used to recover d = 10 Yang-Baxter deformations after dimensional reduction. We present a generalization of the Classical Yang-Baxter Equation (CYBE) for rank 3 objects, which emerges from d = 11 supergravity and the SL(5) ExFT. This equation is shown to reduce to the d = 10 CYBE upon dimensional reduction.

Original languageEnglish
Article number126
JournalJournal of High Energy Physics
Volume2019
Issue number8
DOIs
Publication statusPublished - 1 Aug 2019
Externally publishedYes

Keywords

  • Space-Time Symmetries
  • String Duality
  • Supergravity Models

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