Rigged Configurations Approach For The Spin-1/2 Isotropic Heisenberg Model

We continue the rigged configurations analysis of the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg model. We analyze the non self-conjugate strings of Deguchi-Giri and the counter example for the string hypothesis discovered by Essler-Korepin-Schoutens. In both cases clear discrete structures appear.