https://doi.org/10.1140/epjc/s10052-025-14880-w
Regular Article - Theoretical Physics
Yang–Baxter structure of the extended space
1
Institute for Information Transmission Problems, 19, Bolshoy Karetny pereulok, 127051, Moscow, Russia
2
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 6, Joliot Curie, 141980, Dubna, Russia
3
Moscow Institute of Physics and Technology, Laboratory of High Energy Physics, 9, Institutskii pereulok, 141702, Dolgoprudny, Russia
a
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Received:
4
September
2025
Accepted:
30
September
2025
Published online:
16
October
2025
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.
© The Author(s) 2025
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