Singular solutions to the Bethe ansatz equations and rigged configurations

@article{Kirillov2014SingularST,
  title={Singular solutions to the Bethe ansatz equations and rigged configurations},
  author={Anatol N. Kirillov and Reiho Sakamoto},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2014},
  volume={47}
}
We provide a conjecture for the following two quantities related to the spin-12?> isotropic Heisenberg model defined over rings of even lengths: (i) the number of 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 and Wang 2013 J. Phys. A: Math. Theor. 46 325002. The conjecture is based on a natural relationship between the solutions to the Bethe ansatz… 
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22 Citations

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