142 citations · 1.3k across the 62 of their papers we have counts for
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Factorized finite-size Ising model spin matrix elements from Separation of Variables
G von Gehlen, N Iorgov, S Pakuliak +1
Using the Sklyanin-Kharchev-Lebedev method of Separation of Variables adapted to the cyclic Baxter--Bazhanov--Stroganov or -model, we derive factorized formulae for genera…
Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice
G. von Gehlen, N. Iorgov, S. Pakuliak +2
We continue our investigation of the Baxter-Bazhanov-Stroganov or τ^{(2)}-model using the method of separation of variables [nlin/0603028,arXiv:0708.4342]. In this paper we derive…
Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements
G. von Gehlen, N. Iorgov, S. Pakuliak +2
We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix…
Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation
G. von Gehlen, N. Iorgov, S. Pakuliak +1
The Baxter-Bazhanov-Stroganov model (also known as the τ^(2) model) has attracted much interest because it provides a tool for solving the integrable chiral Z_N-Potts model. It can…
Bazhanov-Stroganov model from 3D approach
G. von Gehlen, S. Pakuliak, S. Sergeev
We apply a 3-dimensional approach to describe a new parametrization of the L-operators for the 2-dimensional Bazhanov-Stroganov (BS) integrable spin model related to the chiral Pot…
Theta function parameterization and fusion for 3-D integrable Boltzmann weights
G. von Gehlen, S. Pakuliak, S. Sergeev
We report progress in constructing Boltzmann weights for integrable 3-dimensional lattice spin models. We show that a large class of vertex solutions to the modified tetrahedron eq…
The modified tetrahedron equation and its solutions
G. von Gehlen, S. Pakuliak, S. Sergeev
A large class of 3-dimensional integrable lattice spin models is constructed. The starting point is an invertible canonical mapping operator in the space of a triple Weyl algebra.…
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…
Explicit Free Parameterization of the Modified Tetrahedron Equation
G. von Gehlen, S. Pakuliak, S. Sergeev
The Modified Tetrahedron Equation (MTE) with affine Weyl quantum variables at N-th root of unity is solved by a rational mapping operator which is obtained from the solution of a l…
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.…