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arXiv · 1809.01174

Yang-Baxter deformations of the $AdS_4\times\mathbb{CP}^3$ superstring sigma model

René Negrón·Victor O. Rivelles
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Abstract

The gravity dual of $β$-deformed ABJM theory can be obtained by a TsT transformation of $AdS_4\times\mathbb{CP}^3$. We present a supercoset construction of $\mathbb{CP}^3$ 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.

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René Negrón, Victor O. Rivelles. 2018-10-30. Yang-Baxter deformations of the $AdS_4\times\mathbb{CP}^3$ superstring sigma model. https://doi.org/10.1007/jhep11(2018)043

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