469 citations · 4.3k across the 65 of their papers we have counts for
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Classical Conformal Blocks and Painleve VI
Alexey Litvinov, Sergei Lukyanov, Nikita Nekrasov +1
We study the classical c\to \infty limit of the Virasoro conformal blocks. We point out that the classical limit of the simplest nontrivial null-vector decoupling equation on a sph…
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…
ODE/IM correspondence for the Fateev model
Sergei L. Lukyanov
The Fateev model is somewhat special among two-dimensional quantum field theories. For different values of the parameters,it can be reduced to a variety of integrable systems. An i…