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

We build string backgrounds for Yang-Baxter deformations of the AdS4 x CP3 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 Schrodinger 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 Schrodinger symmetry.

Automated summary

In this work, we construct string backgrounds for Yang-Baxter deformations of the AdS4 x CP3 superstring generated by r-matrices satisfying the classical Yang-Baxter equation. The metric and NSNS two-form of the gravity dual corresponding to noncommutative and dipole deformations of ABJM theory, as well as a deformed background with Schrodinger symmetry, are obtained. The first two backgrounds can also be obtained by TsT transformations, while the last background leads to a new family of non-relativistic ABJM theories with Schrodinger symmetry.