SUSY and the bi-vector
SUSY and the bi-vector
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DOI：
10.1088/1402-4896/ab1ab9
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发表时间：
2018-11
期刊：
影响因子：
2.9
通讯作者：
D. Orlando;S. Reffert;Y. Sekiguchi;Kentaroh Yoshida
中科院分区：
文献类型：
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作者：
D. Orlando;S. Reffert;Y. Sekiguchi;Kentaroh Yoshida
本文给出了变形弦论背景下通过TsT变换实现的可积Yang-Baxter变形所对应的Killing旋量的一个显式公式。Killing旋量只能用编码变形的双矢量Θ来表示。这个公式适用于与各种秩的r-矩阵有关的变形背景，包括那些不满足幺模性条件并在广义超引力中产生背景的背景。我们猜想，我们的公式也仍然有效的可积变形，这是没有实现通过TsT变换和激励这个猜想明确的例子。
In this note we give an explicit formula for the preserved Killing spinors in deformed string theory backgrounds corresponding to integrable Yang–Baxter deformations realized via (sequences of) TsT transformations. The Killing spinors can be expressed only in terms of the bi-vector Θ which encodes the deformation. This formula is applicable to deformed backgrounds related to r-matrices of various ranks, including those that do not satisfy the unimodularity condition and give rise to backgrounds in generalized supergravity. We conjecture that our formula also remains valid for integrable deformations which are not realized via TsT transformations and motivate this conjecture by explicit examples.