Yang-Baxter structure of the extended space
Kirill Gubarev, Edvard Musaev

TL;DR
This paper demonstrates that certain Yang-Baxter deformations in Einstein-Maxwell dilaton theory are equivalent to coordinate transformations in a higher-dimensional space, revealing a geometric interpretation of these deformations.
Contribution
It establishes a link between Yang-Baxter deformations and coordinate transformations in a parent theory, providing a new geometric perspective on solution-generating techniques.
Findings
Yang-Baxter deformations correspond to coordinate transformations
Deformations are related to KK reduction in Einstein-Maxwell dilaton theory
Bi-vector Yang-Baxter deformations are coordinate transformations in doubled space
Abstract
We construct an analogue of Yang--Baxter deformations defined by a single Killing vector, that is a solution generating transformation in Einstein--Maxwell dilaton theory. We show that these are nothing but a coordinate transformation in a parent theory related to EMd theory by KK reduction. Similarly (almost-abelian) bi-vector Yang--Baxter deformations are coordinate transformations in the doubled space.
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