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Multiparameter Quantum Affine Spaces and the Scalene Yang--Baxter Equation
Pramod Padmanabhan, Somnath Maity, Vladimir Korepin
We construct representation-independent families of solutions of the non-braided scalene Yang--Baxter equation from quadratic noncommutative algebras. Beginning with two anticommut…
Scalene Yang--Baxter triples as a source of hidden symmetries beyond the ordinary Yang--Baxter equation
Pramod Padmanabhan, Somnath Maity, Vladimir Korepin
We study a nearest-neighbor non-Hermitian spin chain obtained from one member of an exact non-braided scalene Yang--Baxter triple. Its local Hamiltonian density violates both the d…
Symmetries of the Generalized Yang--Baxter Equations
Pramod Padmanabhan, Somnath Maity, Akash Sinha +1
The generalized Yang-Baxter equations are multi-site versions of the standard Yang-Baxter equation. When spectral parameters are included, such equations are expected to lead to in…
Hidden Ising models from the generalized Yang-Baxter equation
Akash Sinha, Somnath Maity, Pramod Padmanabhan +1
We introduce a one dimensional spin Hamiltonian with multi-site interactions, but still local. The algebra of its Hamiltonian densities resembles that of the transver…