# 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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