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Volume 347 - Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2018) - Session: Dualities and Generalized Geometries
Killing spinors from classical r-matrices
Y. Sekiguchi
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Published on: 2019 September 19
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.
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