The authors classify all non-regular 4x4 solutions of the Yang-Baxter equation and prove a correspondence between regular Lax operators and regular solutions, with non-regular cases satisfying a modified equation.
Classifying Nearest-Neighbor Interactions and Deformations of AdS
2 Pith papers cite this work. Polarity classification is still indexing.
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A modified boost-operator method yields new integrable anyonic chains (including su(2)_k spin-3/2, TY(Z_n), Fib×Fib, Fib×Ising) and a criterion for when Temperley-Lieb algebras appear.
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All 4 x 4 solutions of the quantum Yang-Baxter equation
The authors classify all non-regular 4x4 solutions of the Yang-Baxter equation and prove a correspondence between regular Lax operators and regular solutions, with non-regular cases satisfying a modified equation.
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Constrained integrability and anyonic chains
A modified boost-operator method yields new integrable anyonic chains (including su(2)_k spin-3/2, TY(Z_n), Fib×Fib, Fib×Ising) and a criterion for when Temperley-Lieb algebras appear.