Root of unity symmetries in the 8 and 6 vertex models

Abstract

We review the recently discovered symmetries of the 8 and 6 vertex models which exist at roots of unity and present their relation with representation theory of affine Lie algebras, Drinfeld polynomials and Bethe vectors.

13 pages, to appear in Proceedings of the RIMS 2004 workshop on "Recent Progress in Solvable Lattice Models"

Cited by in corpus (3)

• The Q-operator and Functional Relations of the Eight-vertex Model at Root-of-unity $\eta =\frac{2mK}{N}$ for odd N
• On $Q$-operators of XXZ Spin Chain of Higher Spin
• Representation Theory and Baxter's TQ equation for the six-vertex model. A pedagogical overview