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arXiv · 2009.04397

String Backgrounds of the Yang-Baxter Deformed $AdS_4\times\mathbb{CP}^3$ Superstring

Laura Rado·Victor O. Rivelles·Renato Sánchez
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Abstract

We build string backgrounds for Yang-Baxter deformations of the $AdS_4\times\mathbb{CP}^3$ superstring generated by $r$-matrices satisfying the classical Yang-Baxter equation. We obtain the metric and the NS-NS two-form of the gravity dual corresponding to noncommutative and dipole deformations of ABJM theory, as well as a deformed background with Schr\"odinger 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 Schr\"odinger symmetry.

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Laura Rado, Victor O. Rivelles, Renato Sánchez. 2020-09-09. String Backgrounds of the Yang-Baxter Deformed $AdS_4\times\mathbb{CP}^3$ Superstring. https://doi.org/10.1007/jhep01(2021)056

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