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

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

2006-05-23

arxiv.org/abs/cond-mat/0605551v1

Phys.Lett. A356 (2006) 366-370

Physics

Condensed Matter

Statistical Mechanics

8 pages, to be published in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2006.03.058

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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