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• W3100255761 endingPage "395401" @default.
• W3100255761 startingPage "395401" @default.
• W3100255761 abstract "The Yang-Baxter (YB) deformation is a systematic way of performibg integrable deformations of two-dimensional symmetric non-linear sigma models. The deformations can be labeled by classical $r$-matrices satisfying the classical YB equation. This YB deformation is also applicable to type IIB superstring theory defined on $mathrm{AdS}_5times S^5$. In this case, a simple class of YB deformation is associated with TsT transformations of string backgrounds. The data of this transformation is encoded in an antisymmetric bi-vector $Theta$ (which is often called $beta$ field or non-commutativity parameter). In this article, we give a simple recipe for obtaining the explicit expression for the Killing spinors of the TsT transformed background starting from $Theta$. We moreover discuss the M-theory equivalent of the TsT transformation, allowing us to also give Killing spinors of 11-dimensional backgrounds. We discuss examples of TsT transformed backgrounds starting from flat space, $mathrm{AdS}_{5}times S^5$ and $mathrm{AdS}_{7}times S^4$. We find that in this way we can relate the $Omega$-deformation to YB deformations." @default.
• W3100255761 created "2020-11-23" @default.
• W3100255761 creator A5047957791 @default.
• W3100255761 creator A5062769717 @default.
• W3100255761 creator A5076547047 @default.
• W3100255761 creator A5088345776 @default.
• W3100255761 date "2018-08-24" @default.
• W3100255761 modified "2023-10-06" @default.
• W3100255761 title "Killing spinors from classical <i>r</i>-matrices" @default.
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• W3100255761 doi "https://doi.org/10.1088/1751-8121/aad8c2" @default.
• W3100255761 hasPublicationYear "2018" @default.
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