Reflection $K$-matrices related to Temperley-Lieb $R$-matrices
Jean Avan, Petr P. Kulish, Genevieve Rollet
TL;DR
This paper constructs general solutions to the reflection equation linked to Temperley-Lieb R-matrices, providing parametrizations and Hamiltonians for related integrable spin systems.
Contribution
It introduces a comprehensive construction of reflection K-matrices for Temperley-Lieb R-matrices, expanding the understanding of integrable boundary conditions.
Findings
Explicit solutions for reflection equations are derived.
Parametrizations of K-matrices are provided.
Hamiltonians for associated integrable models are formulated.
Abstract
The general solutions of the reflection equation associated with Temperley-Lieb -matrices are constructed. Their parametrization is defined and the Hamiltonians of corresponding integrable spin systems are given.
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Taxonomy
TopicsStatistical and numerical algorithms