Yang-Baxter deformations of Minkowski spacetime

23rd International Conference on Integrable Systems and Quantum Symmetries

Jun-Ichi, Sakamoto^1

Department of Physics, Kyoto University, Kyoto

606-8502, Japan^1

关键词: B-fields;    Bilinear form;    Minkowski space-time;    Poincare;    Poincare group;    Pp-wave;    R matrices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012043/pdf
DOI  :  10.1088/1742-6596/670/1/012043

来源: IOP

【 摘 要 】

We discuss Yang-Baxter sigma deformations of 4D Minkowski spacetime proposed recently. To avoid the degeneracy of the standard bilinear form associated with the familiar coset ISO(1,3)/SO(1,3), we consider a slice of AdS5in Poincare coordinates by embedding the 4D Poincare group into the 4D conformal group SO(2,4). With this procedure we present the metrics and B-fields as Yang-Baxter deformations which correspond to well-known backgrounds such as T-duals of Melvin backgrounds, Hashimoto-Sethi and Spradlin-Takayanagi-Volovich backgrounds, pp-waves, and T-duals of dS4and AdS4. Finally we consider a deformation with a classical r-matrix of Drinfeld-Jimbo type and explicitly derive the associated metric and B-field.