Killing spinors from classical r-matrices
Yuta Sekiguchi · 2019
In this article we summarize the interplay between supersymmetry and integrable deformations of superstring theory backgrounds. We start from a brief review of a recipe for the preserved Killing spinors in TsT deformed backgrounds. Then a few examples in TsT deformations of flat space, $\mathrm{AdS}_{5}\times S^{5}$, and $\mathrm{AdS}_{7}\times S^{4}$ are presented. We also comment on the general Killing spinor formula expressed only in terms of the bi-vector $\Theta$, obtained by the Seiberg-Witten map.