We build string backgrounds for Yang-Baxter deformations of the AdS 4 × ℂℙ 3 superstring generated by r -matrices satisfying the classical Yang-Baxter equation. We obtain the metric and the NSNS two-form of the gravity dual corresponding to noncommutative and dipole deformations of ABJM theory, as well as a deformed background with Schrödinger symmetry. The first two backgrounds may also be found by TsT transformations while for the last background we get a new family of non-relativistic ABJM theories with Schrödinger symmetry.

中文翻译：

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Yang-Baxter 变形的 AdS4 × ℂℙ3 超弦的弦背景

我们为由满足经典 Yang-Baxter 方程的 r 矩阵生成的 AdS 4 × ℂℙ 3 超弦的 Yang-Baxter 变形构建弦背景。我们获得了对应于 ABJM 理论的非对易和偶极变形的引力对偶的度量和 NSNS 两种形式，以及具有薛定谔对称性的变形背景。前两个背景也可以通过 TsT 变换找到，而对于最后一个背景，我们得到了一系列新的具有薛定谔对称性的非相对论 ABJM 理论。