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

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.

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

Cited by in corpus (6)

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• On ${\tau }^{(2)}$-model in Chiral Potts Model and Cyclic Representation of Quantum Group $U_q(s{l}_2)$
• Irreducibility criterion for a finite-dimensional highest weight representation of the sl(2) loop algebra and the dimensions of reducible representations
• On $Q$-operators of XXZ Spin Chain of Higher Spin
• Extension of a Borel subalgebra symmetry into the sl(2) loop algebra symmetry for the twisted XXZ spin chain at roots of unity and the Onsager algebra