Schrödinger geometries arising from Yang-Baxter deformations

Abstract

Abstract: We present further examples of the correspondence between deformed AdS5×S5 solutions of type IIB supergravity and classical r-matrices satisfying the classical YangBaxter equation (CYBE). In the previous works, classical r-matrices have been composed of generators of only one of either so(2, 4) or so(6). In this paper, we consider some examples of r-matrices with both of them. The r-matrices of this kind contain (generalized) Schrödinger spacetimes and gravity duals of dipole theories. It is known that the generalized Schrödinger spacetimes can also be obtained via a certain class of TsT transformations called null Melvin twists. The metric and NS-NS two-form are reproduced by following the Yang-Baxter sigma-model description.