49 citations · 163 across the 15 of their papers we have counts for
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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…
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…
On quantum Freidel-Maillet algebra for non-ultralocal integrable systems
A. Melikyan, G. Weber
We consider the quantum algebra of transition matrices for non-ultralocal integrable systems, and show that a regularization of the singular operator products in the quantum algebr…
Integrable theories and generalized graded Maillet algebras
A. Melikyan, G. Weber
We present a general formalism to investigate the integrable properties of a large class of non-ultralocal models which in principle allows the construction of the corresponding la…