Abstract
We consider a Jordanian deformation of the AdS5×S5 superstring action by taking a simple R-operator which satisfies the classical Yang-Baxter equation. The metric and NS-NS two-form are explicitly derived with a coordinate system. Only the AdS part is deformed and the resulting geometry contains the 3D Schrödinger spacetime as a subspace. Then we present the full solution in type IIB supergravity by determining the other field components. In particular, the dilaton is constant and a R-R three-form field strength is turned on. The symmetry of the solution is [SL(2, \( \mathbb{R} \)) × U(1)2] × [SU(3) × U(1)] and contains an anisotropic scale symmetry.
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Kawaguchi, I., Matsumoto, T. & Yoshida, K. A Jordanian deformation of AdS space in type IIB supergravity. J. High Energ. Phys. 2014, 146 (2014). https://doi.org/10.1007/JHEP06(2014)146
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DOI: https://doi.org/10.1007/JHEP06(2014)146