String backgrounds of the Yang-Baxter deformed AdS 4 × ℂℙ3 superstring

Abstract

Abstract We build string backgrounds for Yang-Baxter deformations of the AdS4 × 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 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.

Keywords

• Gauge-gravity correspondence
• Integrable Field Theories
• AdS-CFT Correspondence