129 citations · 813 across the 36 of their papers we have counts for
36 papers
On extension of the Yang-Baxter equation and the fermionic -operator
A. Melikyan
We consider the fermionic -operator based on Bazhanov-Stroganov's three-parameter elliptic parametrization of the free fermion model, and find the most general solution of the r…
Quantum integrability of a massive anisotropic SU(N) fermionic model
A. Melikyan, G. Weber
We consider a general anisotropic massive SU(N) fermionic model, and investigate its quantum integrability. In particular, by regularizing singular operator products, we derive a s…
The Lax pair for the fermionic Bazhanov-Stroganov -operator
A. Melikyan, G. Weber
We derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the…
The tetrahedral Zamolodchikov algebra for the fermionic Bazhanov-Stroganov R-operator
A. Melikyan
We find the fermionic R-operator based on Bazhanov-Stroganov three-parameter elliptic parametrization of the free fermion model, and the corresponding Yang-Baxter and decorated Yan…
Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models
A. Melikyan, G. Weber
We consider several anisotropic extensions of the Belavin model, and show that integrability holds also for the massive case for some specific relations between the coupling consta…
On the quantization of continuous non-ultralocal integrable systems
A. Melikyan, G. Weber
We discuss the quantization of non-ultralocal integrable models directly in the continuous case, using the example of the Alday-Arutyunov-Frolov model. We show that by treating fie…