تقرير
Solutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions
العنوان: | Solutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions |
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المؤلفون: | Hietarinta, Jarmo, Martin, Paul, Rowell, Eric C. |
سنة النشر: | 2023 |
المجموعة: | Mathematics Condensed Matter High Energy Physics - Theory Mathematical Physics Nonlinear Sciences |
مصطلحات موضوعية: | Mathematics - Quantum Algebra, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
الوصف: | We find all solutions to the constant Yang--Baxter equation $R_{12}R_{13}R_{23}=R_{23}R_{13}R_{12}$ in three dimensions, subject to an additive charge-conservation ansatz. This ansatz is a generalisation of (strict) charge-conservation, for which a complete classification in all dimensions was recently obtained. Additive charge-conservation introduces additional sector-coupling parameters -- in 3 dimensions there are $4$ such parameters. In the generic dimension 3 case, in which all of the $4$ parameters are nonzero, we find there is a single 3 parameter family of solutions. We give a complete analysis of this solution, giving the structure of the centraliser (symmetry) algebra in all orders. We also solve the remaining cases with three, two, or one nonzero sector-coupling parameter(s). |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2310.03816 |
رقم الأكسشن: | edsarx.2310.03816 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |