Tri-vector deformations in d = 11 supergravity
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- August 2019
- DOI:
- 10.1007/JHEP08(2019)126
- arXiv:
- arXiv:1906.09052
- Bibcode:
- 2019JHEP...08..126B
- Keywords:
-
- Space-Time Symmetries;
- String Duality;
- Supergravity Models;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 27 pages