arXiv subjects

Vladimir V Mangazeev

Publications and source records attributed to Vladimir V Mangazeev.

3 recordsLinked to original sources

arXiv2024

Triangular solutions to the reflection equation for $U_q(\widehat{sl_n})$

We study solutions of the reflection equation related to the quantum affine algebra $U_q(\widehat{sl_n})$. First, we explain how to construct a family of stochastic integrable vertex models with fixed boundary conditions. Then, we construct upper- and lower-triangular solutions of the reflection equation related to symmetric tensor representations of $U_q(\widehat{sl_n})$ with arbitrary spin. We also prove the star-star relation for the Boltzmann weights of the Ising-type model, conjectured by Bazhanov and Sergeev, and use it to verify certain properties of the solutions obtained.

math-ph↗

arXiv2017

Exactly Solved Models and Beyond: a special issue in honour of R J Baxter's 75th birthday

This is an introduction to Exactly Solved Models and Beyond, a special issue collection of articles published in J. Phys. A in honour of R J Baxter's 75th birthday.

cond-mat.stat-mech↗

arXiv2006

The eight-vertex model and Painleve VI

In this letter we establish a connection of Picard-type elliptic solutions of Painleve VI equation with the special solutions of the non-stationary Lame equation. The latter appeared in the study of the ground state properties of Baxter's solvable eight-vertex lattice model at a particular point, $η=π/3$, of the disordered regime.

hep-th↗