Marginal and non-commutative deformations via 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 $\mathcal{N}=4$ super Yang-Mills gauge theory including the RR fluxes can be obtained via the machinery of non-abelian T-duality in Type II supergravity.

25 pages, v2: references added and a small comment to section 5.2

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Cited by in corpus (4)

• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• $T$-folds from Yang-Baxter deformations
• $I$ in generalized supergravity
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$