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arXiv · 2003.05867

The first $\alpha'$-correction to homogeneous Yang-Baxter deformations using $O(d,d)$

Riccardo Borsato·Alejandro Vilar López·Linus Wulff
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Abstract

We use the $O(d,d)$-covariant formulation of supergravity familiar from Double Field Theory to find the first $\alpha'$-correction to (unimodular) homogeneous Yang-Baxter (YB) deformations of the bosonic string. A special case of this result gives the $\alpha'$-correction to TsT transformations. In a suitable scheme the correction comes entirely from an induced anomalous double Lorentz transformation, which is needed to make the two vielbeins obtained upon the YB deformation equal. This should hold more generally, in particular for abelian and non-abelian T-duality, as we discuss.

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Riccardo Borsato, Alejandro Vilar López, Linus Wulff. 2020-03-12. The first $\alpha'$-correction to homogeneous Yang-Baxter deformations using $O(d,d)$. https://doi.org/10.1007/jhep07(2020)103

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