String backgrounds of the Yang-Baxter deformed AdS4 × ℂℙ3 superstring

We build string backgrounds for Yang-Baxter deformations of the $AdS_4\times\mathbb{CP}^3$ superstring generated by $r$-matrices satisfying classical equation. obtain metric and NS-NS two-form gravity dual corresponding to noncommutative dipole ABJM theory, as well a deformed background with Schr\"odinger symmetry. The first two may also be found TsT transformations while last we get new family non-relativistic theories