5 citations · 6 across the 2 of their papers we have counts for
8 papers
Spectral curves and parameterizations of a discrete integrable 3-dimensional model
S. Pakuliak, S. Sergeev
We consider a discrete classical integrable model on the 3-dimensional cubic lattice. The solutions of this model can be used to parameterize the Boltzmann weights of the different…
Quantum relativistic Toda chain at root of unity: isospectrality, modified Q-operator and functional Bethe ansatz
S. Pakuliak, S. Sergeev
We investigate an N-state spin model called quantum relativistic Toda chain and based on the unitary finite dimensional representations of the Weyl algebra with q being N-th primit…
Relativistic Toda chain at root of unity III. Relativistic Toda chain hierarchy
S. Pakuliak, S. Sergeev
The hierarchy of the classical nonlinear integrable equations associated with relativistic Toda chain model is considered. It is formulated for the N-th powers of the quantum opera…
Relativistic Toda chain at root of unity II. Modified Q-operator
S. Pakuliak, S. Sergeev
Matrix elements of quantum intertwiner as well as the modified Q-operator for the quantum relativistic Toda chain at root of unity are constructed explicitly. Modified Q-operators…
Relativistic Toda chain at root of unity
S. Pakuliak, S. Sergeev
We declare briefly several interesting features of the quantum relativistic Toda chain at N-th root of unity. We consider the finite dimensional representation of the Weyl algebra.…
Angular Quantization of the Sine-Gordon Model at the Free Fermion Point
S. Khoroshkin, A. LeClair, S. Pakuliak
The goal of this paper is to analyse the method of angular quantization for the Sine-Gordon model at the free fermion point, which is one of the most investigated models of the two…