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.

24 pages

References in corpus (6)

• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• On non-supersymmetric conformal manifolds: field theory and holography
• Polyvector deformations in eleven-dimensional supergravity
• An associative star-three-product and applications to M two/M five-brane theory
• SUSY and tri-vector deformations