Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model

Abstract

Abstract The gravity dual of β-deformed ABJM theory can be obtained by a TsT transformation of AdS4 × ℂℙ3. We present a supercoset construction of ℂℙ3 to obtain this gravity dual theory as a Yang-Baxter deformation. This is done by selecting a convenient combination of Cartan generators in order to get an Abelian r-matrix satisfying the classical Yang-Baxter equation. Our results provide another illustration of the relation between Abelian r-matrices and TsT transformations.

Keywords

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