Tri-vector deformations on compact isometries

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.

arXiv comment24 pages

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Cited by in corpus (4)

• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• Polyvector deformations of Type IIB backgrounds
• On 10 dimensional Exceptional Drinfel'd Algebras
• Tri-vector deformations with external fluxes