A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Solutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions
Tekijät: Hietarinta, J.; Martin, P.; Rowell, E. C.
Kustantaja: ROYAL SOC
Kustannuspaikka: LONDON
Julkaisuvuosi: 2024
Journal: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Tietokannassa oleva lehden nimi: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Lehden akronyymi: P ROY SOC A-MATH PHY
Artikkelin numero: 20230810
Vuosikerta: 480
Numero: 2294
Sivujen määrä: 24
ISSN: 1364-5021
eISSN: 1471-2946
DOI: https://doi.org/10.1098/rspa.2023.0810
Verkko-osoite: https://doi.org/10.1098/rspa.2023.0810
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/457760357
Preprintin osoite: https://arxiv.org/abs/2310.03816
We find all solutions to the constant Yang-Baxter equation R12R13R23=R23R13R12 in three dimensions, subject to an additive charge-conservation (ACC) ansatz. This ansatz is a generalization of (strict) charge-conservation, for which a complete classification in all dimensions was recently obtained. ACC introduces additional sector-coupling parameters-in three dimensions, there are four such parameters. In the generic dimension 3 case, in which all of the four parameters are non-zero, we find there is a single three parameter family of solutions. We give a complete analysis of this solution, giving the structure of the centralizer (symmetry) algebra in all orders. We also solve the remaining cases with three, two or one non-zero sector-coupling parameter(s).
Ladattava julkaisu This is an electronic reprint of the original article. |  |
