Solutions of the Yang–Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras

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Solutions of the Yang–Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras

Finch, P.E.; Dancer, K.A.; Isaac, P.S.; Links, J.

Nuclear physics. B, 06/2011, Volume: 847, Issue: 2

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The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang–Baxter equation. Use of the two-dimensional representations recovers the six-vertex model solution. Solutions in arbitrary dimensions, which are viewed as descendants of the six-vertex model case, are then obtained using tensor product graph methods which were originally formulated for quantum algebras. Connections with the Fateev–Zamolodchikov model are discussed.

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Finch, P.E. | Dancer, K.A. | Isaac, P.S. | Links, J.

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