ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field equation
arXiv:1605.04668 · doi:10.1016/j.nuclphysb.2017.01.009
Abstract
We study the massive ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field equation. Based on the $Ï$-system for the solutions of the associated linear problem, we obtain the Bethe ansatz equations. We also discuss the T-Q relations, the T-system and the Y-system, which are shown to be related to those of the $A_3/{\bf Z}_2$ integrable system. We consider the case that the solution of the linear problem has a monodromy around the origin, which imposes nontrivial boundary conditions for the T-/Y-system. The high-temperature limit of the T- and Y-system and their monodromy dependence are studied numerically.
1+21 pages, 2 figures, Typos corrected