The L(sl_2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model

Akinori Nishino; Tetsuo Deguchi

doi:10.1016/j.physleta.2006.03.058

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The L(sl_2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model

Akinori Nishino·Tetsuo Deguchi

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Abstract

The loop algebra $L(\mathfrak{sl}_{2})$ symmetry is found in a sector of the nilpotent Bazhanov-Stroganov model. The Drinfeld polynomial of a $L(\mathfrak{sl}_{2})$-degenerate eigenspace of the model is equivalent to the polynomial which characterizes a subspace with the Ising-like spectrum of the superintegrable chiral Potts model.

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Akinori Nishino, Tetsuo Deguchi. 2006-05-23. The L(sl_2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model. https://doi.org/10.1016/j.physleta.2006.03.058

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