2 citations · 3 across the 3 of their papers we have counts for
5 papers
On solutions of Bethe equations for the XXZ model
V. Tarasov
It is shown that solutions of the Bethe ansatz equations for the inhomogeneous arbitrary spin XXX or XXZ model satisfy certain identites which generalize those, recently obtained b…
On Bethe vectors in the XXZ model at roots of unity
V. Tarasov
We give a construction of creation operators responsible for appearance of Bethe vectors with the same eigenvalues of the transfer-matrix for the inhomogeneous arbitrary spin XXZ m…
Identities for hypergeometric integrals of different dimensions
V. Tarasov, A. Varchenko
Given complex numbers and positive integers , such that , we define -dimensional hypergeometric integrals , $a,…
Small Elliptic Quantum Group
V. Tarasov, A. Varchenko
The small elliptic quantum group , introduced in the paper, is an elliptic dynamical analogue of the universal enveloping algebra . We define highest weight…
Solutions to the Quantized Knizhnik-Zamolodchikov Equation and the Bethe Ansatz
V. Tarasov, A. Varchenko
We give an integral representation for solutions to the quantized Knizhnik- Zamolodchikov equation (qKZ) associated with the Lie algebra . Asymptotic solutions to qKZ are…