We establish a correspondence between classical An(1) affine Toda field theories and An Bethe ansatz systems. We show that the connection coefficients relating specific solutions of the associated classical linear problem satisfy functional relations of the type that appear in the context of the massive quantum integrable model.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 6 May 2014|
Adamopoulou, P., & Dunning, C. (2014). Bethe ansatz equations for the classical An(1) affine Toda field theories. Journal of Physics A: Mathematical and Theoretical, 47(20), . https://doi.org/10.1088/1751-8113/47/20/205205