Eight-dimensional Manin triples, Yang-Baxter deformations and solutions of Supergravity Equations

@misc{hlavaty2026eightdimensional,
  title = {{Eight-dimensional Manin triples, Yang-Baxter deformations and solutions of Supergravity Equations}},
  author = {Ladislav Hlavatý and Petr Novotný and Ivo Petr},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.09349},
  eprint = {2606.09349},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.09349},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Eight-dimensional Manin triples, Yang-Baxter deformations and solutions of Supergravity Equations
AU  - Ladislav Hlavatý
AU  - Petr Novotný
AU  - Ivo Petr
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2606.09349
UR  - https://arxiv.org/abs/2606.09349
AB  - Extensive list of 4+4-dimensional Manin triples that was presented recently can be used to find new solutions of supergravity equations via Poisson-Lie T-plurality. To get the solutions we start with 1+3-dimensional flat backgrounds on Poisson-Lie groups corresponding to semi-Abelian Manin triples. For application of the Poisson-Lie T-plurality we identify Manin triples that form various decompositions of the same Drinfeld double. Beside flat backgrounds and plane-parallel waves solving supergravity equations, plurality transformation also produces curved backgrounds with torsion satisfying (generalized) supergravity equations. Many of the Poisson-Lie transformations can be understood as homogeneous Yang-Baxter deformations. Of special interest are the non-unimodular deformations leading to solutions of generalized supergravity equations.
ER  -