O(4,4) dualities and Manin triples
High Energy Physics - Theory
2025-10-10 v2
Abstract
We provide a coarse classification of all 8-dimensional Manin triples, that describe Poisson--Lie T-dualities between 4-dimensional group manifold solutions to supergravity equations. We find several such dualities and one Poisson--Lie triality. For each class we refine the classification by marking whether the corresponding Drinfeld double can be obtained by a Yang--Baxter deformation of the initial algebra paired by the four-dimensional Abelian algebra.
Cite
@article{arxiv.2509.19144,
title = {O(4,4) dualities and Manin triples},
author = {Angelina Kurenkova and Edvard T. Musaev},
journal= {arXiv preprint arXiv:2509.19144},
year = {2025}
}
Comments
v2: added a refinement to the classification by including Yang-Baxter deformations