Abstract
The massive ordinary differential equation/integrable model (ODE/IM) correspondence is a relation between the linear problem associated with modified affine Toda field equations and 2D massive integrable models. We study the massive ODE/IM correspondence for the -type modified affine Toda field equations. Based on the ψ-system satisfied by the solutions of the linear problem, we derive the Bethe ansatz equations and determine the asymptotic behavior of the Q-functions for large values of the spectral parameter. We derive the non-linear integral equations for the Q-functions from the Bethe ansatz equations. We compute the effective central charge in the UV limit, which is identified by one of the non-unitary WAr minimal models when the solution has trivial monodromy around the origin of the complex plane.
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