Tri-vector deformations on compact isometries
High Energy Physics - Theory
2023-05-31 v1
Abstract
Classical Yang-Baxter equation governing bi-vector deformations of 10d supergravity is known to have no solutions along non-abelian compact isometries. By providing explicit examples we show that this is in contrast to generalized Yang-Baxter equation governing tri-vector deformations of 11d supergravity. We present deformations of the AdS7xS4 and flat backgrounds with isometries generated by Killing vectors of a sphere. Isometries of the AdS space-time are preserved by such deformations.
Keywords
Cite
@article{arxiv.2302.08749,
title = {Tri-vector deformations on compact isometries},
author = {Edvard T. Musaev and Timophey Petrov},
journal= {arXiv preprint arXiv:2302.08749},
year = {2023}
}
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24 pages