https://doi.org/10.1140/epjc/s10052-023-11569-w
Regular Article - Theoretical Physics
Tri-vector deformations on compact isometries
1
Moscow Institute of Physics and Technology, Institutskii per. 9, 141700, Dolgoprudny, Russia
2
Institute of Physics, Kazan Federal University, Kremlevskaya 16a, 420111, Kazan, Russia
Received:
27
February
2023
Accepted:
1
May
2023
Published online:
12
May
2023
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 AdS
and flat backgrounds with isometries generated by Killing vectors of a sphere. Isometries of the AdS space-time are preserved by such deformations.
© The Author(s) 2023
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