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arXiv · 1402.0651

Singular Solutions to the Bethe Ansatz Equations and Rigged Configurations

Anatol N. Kirillov·Reiho Sakamoto
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Abstract

We provide a conjecture for the following two quantities related with the spin-$\frac{1}{2}$ isotropic Heisenberg model defined over rings of even lengths: (i) the number of the solutions to the Bethe ansatz equations which correspond to non-zero Bethe vectors; (ii) the number of physical singular solutions of the Bethe ansatz equations in the sense of Nepomechie-Wang. The conjecture is based on a natural relationship between the solutions to the Bethe ansatz equations and the rigged configurations.

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Anatol N. Kirillov, Reiho Sakamoto. 2014-02-04. Singular Solutions to the Bethe Ansatz Equations and Rigged Configurations. https://doi.org/10.1088/1751-8113/47/20/205207

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