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arXiv · 2302.08749

Tri-vector deformations on compact isometries

Edvard T. Musaev·Timophey Petrov
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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.

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Edvard T. Musaev, Timophey Petrov. 2023-02-17. Tri-vector deformations on compact isometries. https://doi.org/10.1140/epjc/s10052-023-11569-w

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