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arXiv · 1605.04668

ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field equation

Katsushi Ito·Hongfei Shu
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Abstract

We study the massive ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field equation. Based on the $ψ$-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.

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Katsushi Ito, Hongfei Shu. 2017-08-21. ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field equation. https://doi.org/10.1016/j.nuclphysb.2017.01.009

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