93 citations · 181 across the 4 of their papers we have counts for
4 papers
Quantum geometry of 3-dimensional lattices
Vladimir V. Bazhanov, Vladimir V. Mangazeev, Sergey M. Sergeev
We study geometric consistency relations between angles on 3-dimensional (3D) circular quadrilateral lattices -- lattices whose faces are planar quadrilaterals inscribable into a c…
Exact solution of the Faddeev-Volkov model
Vladimir V. Bazhanov, Vladimir V. Mangazeev, Sergey M. Sergeev
The Faddeev-Volkov model is an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line. It serves as a lattice ana…
Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry
Vladimir V. Bazhanov, Vladimir V. Mangazeev, Sergey M. Sergeev
The Faddeev-Volkov solution of the star-triangle relation is connected with the modular double of the quantum group U_q(sl_2). It defines an Ising-type lattice model with positive…
An Analytic Formula for the A_2 Jack Polynomials
Vladimir V. Mangazeev
In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482, math.CA/0306242] on separation of variables for the …