Work

Tri-vector deformations on compact isometries

Year: 2023

Type: article

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 AdS $${}_7\times \mathbb {S}^4$$ 7 × S 4 and flat backgrounds with isometries generated by Killing vectors of a sphere. Isometries of the AdS space-time are preserved by such deformations.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-023-11569-w

Authors: Edvard T. Musaev, Timophey Petrov

Institutions: Moscow Institute of Physics and Technology, Kazan Federal University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Kazan Federal University, Foundation for the Advancement of Theoretical Physics and Mathematics

Award: G4333876708