Special Polynomials Related to the Supersymmetric Eight-Vertex Model: A Summary

@article{Rosengren2015SpecialPR,
  title={Special Polynomials Related to the Supersymmetric Eight-Vertex Model: A Summary},
  author={Hjalmar Rosengren},
  journal={Communications in Mathematical Physics},
  year={2015},
  volume={340},
  pages={1143-1170}
}
  • H. Rosengren
  • Published 10 March 2015
  • Mathematics
  • Communications in Mathematical Physics
We introduce and study symmetric polynomials, which as very special cases include polynomials related to the supersymmetric eight-vertex model, and other elliptic lattice models with $${\Delta=\pm 1/2}$$Δ=±1/2. There is also a close relation to affine Lie algebra characters. After a natural change of variables, our polynomials satisfy a non-stationary Schrödinger equation with elliptic potential, which is related to the Knizhnik–Zamolodchikov–Bernard equation and to the canonical quantization… 
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