Bosonic $\eta$-deformed $Ad{S}_4\times {\mathbb{CP}}^3$ Background

Abstract

We build the bosonic $\eta$-deformed $Ad{S}_4\times {\mathbb{CP}}^3$ background generated by an $r$-matrix that satisfies the modified classical Yang-Baxter equation. In a special limit we find that it is the gravity dual of the noncommutative ABJM theory.

arXiv comment13 pages, added comments in sections 1, 4 and 5; added references [25,26,27], deleted comments on $Ad{S}_4\times S^7$

References in corpus (6)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• On classical q-deformations of integrable sigma-models
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Yang-Baxter deformations of the $Ad{S}_4\times {\mathbb{CP}}^3$ superstring sigma model