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.
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Matsumoto, T., Yoshida, K. Schrödinger geometries arising from Yang-Baxter deformations. J. High Energ. Phys. 2015, 180 (2015). https://doi.org/10.1007/JHEP04(2015)180
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DOI: https://doi.org/10.1007/JHEP04(2015)180