469 citations · 3k across the 50 of their papers we have counts for
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From Fuchsian differential equations to integrable QFT
Vladimir V. Bazhanov, Sergei L. Lukyanov
We establish an intriguing correspondence between a special set of classical solutions of the modified sinh-Gordon equation (i.e., Hitchin's "self-duality" equations) on a puncture…
Integrable structure of Quantum Field Theory: Classical flat connections versus quantum stationary states
Vladimir V. Bazhanov, Sergei L. Lukyanov
We establish a correspondence between an infinite set of special solutions of the (classical) modified sinh-Gordon equation and a set of stationary states in the finite-volume Hilb…
An integrable 3D lattice model with positive Boltzmann weights
Vladimir V. Mangazeev, Vladimir V. Bazhanov, Sergey M. Sergeev
In this paper we construct a three-dimensional (3D) solvable lattice model with non-negative Boltzmann weights. The spin variables in the model are assigned to edges of the 3D cubi…
Comment on star-star relations in statistical mechanics and elliptic gamma-function identities
Vladimir V. Bazhanov, Andrew P. Kels, Sergey M. Sergeev
We prove a recently conjectured star-star relation, which plays the role of an integrability condition for a class of 2D Ising-type models with multicomponent continuous spin varia…