The first $\alpha'$-correction to homogeneous Yang-Baxter deformations using $O(d,d)$
High Energy Physics - Theory
2020-08-26 v2
Abstract
We use the -covariant formulation of supergravity familiar from Double Field Theory to find the first -correction to (unimodular) homogeneous Yang-Baxter (YB) deformations of the bosonic string. A special case of this result gives the -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.
Keywords
Cite
@article{arxiv.2003.05867,
title = {The first $\alpha'$-correction to homogeneous Yang-Baxter deformations using $O(d,d)$},
author = {Riccardo Borsato and Alejandro Vilar López and Linus Wulff},
journal= {arXiv preprint arXiv:2003.05867},
year = {2020}
}
Comments
20 pages. Covariant expression of the corrections improved. Comments on tests added. Concluding comments expanded. References added, and other minor changes. Published version