Marginal and non-commutative deformations via non-abelian T-duality

TL;DR

This paper explores how non-abelian T-duality can generate holographic duals of deformed super Yang-Mills theories, linking Yang-Baxter sigma-models with non-commutative and beta-deformations in string theory.

Contribution

It explicitly demonstrates the derivation of deformed holographic backgrounds from non-abelian T-duality, connecting recent theoretical proposals with concrete supergravity solutions.

Findings

Holographic duals of beta- and non-commutative deformations obtained via non-abelian T-duality

Explicit supergravity solutions including RR fluxes for deformed theories

Establishment of a link between Yang-Baxter models and non-abelian T-duality

Abstract

In this short article we develop recent proposals to relate Yang-Baxter sigma-models and non-abelian T-duality. We demonstrate explicitly that the holographic space-times associated to both (multi-parameter)-$\beta$-deformations and non-commutative deformations of ${\cal N}=4$ super Yang-Mills gauge theory including the RR fluxes can be obtained via the machinery of non-abelian T-duality in Type II supergravity.