Boris Runov, Concordia University

Title: Solutions of modified sinh-Gordon equation as eigenstates of Bukhvostov-Lipatov hamiltonian

Abstract: Bukhvostov-Lipatov model is an integrable QFT in 1+1 dimensions, which was originally introduced in context of instanton counting in the O(3) NLSM and can be interpreted as a deformation of the latter. Bukhvostov-Lipatov model is solvable by coordinate Bethe Ansatz. In this talk I will explore the relation between the Bethe roots of the quantum model and the zeroes of connection coefficients of auxiliary linear problem associated with modified sinh-Gordon equation. This relation represents a new type of duality between quantum and classical integrable systems known as the ODE/IM (ODE/IQFT) correspondence.