On jordanian deformations of AdS_5 and supergravity

TL;DR

This paper studies jordanian deformations of AdS_5 and their supergravity properties, showing that some deformations satisfy modified supergravity equations and are scale invariant, while others do not solve standard supergravity.

Contribution

It introduces jordanian deformations from singular boosts of eta-deformed models and analyzes their supergravity and scale invariance properties.

Findings

Some jordanian deformations satisfy modified supergravity equations.

Abelian models obtained by singular boosts are solutions of supergravity.

Contraction limits of deformations can lead to supergravity solutions.

Abstract

We consider various homogeneous Yang-Baxter deformations of the AdS_5 x S^5 superstring that can be obtained from the eta-deformed superstring and related models by singular boosts. The jordanian deformations we obtain in this way behave similarly to the eta-deformed model with regard to supergravity: T dualizing the classical sigma model it is possible to find corresponding solutions of supergravity, which, however, have dilatons that prevent T dualizing back. Hence the backgrounds of these jordanian deformations are not solutions of supergravity. Still, they do satisfy a set of recently found modified supergravity equations which implies that the corresponding sigma models are scale invariant. The abelian models that we obtain by singular boosts do directly correspond to solutions of supergravity. In addition to our main results we consider contraction limits of our main example, which do correspond to supergravity solutions.