The twisted XXZ chain at roots of unity revisited

Korff, C. (2004) The twisted XXZ chain at roots of unity revisited. Journal of Physics A: Mathematical and General, 37(5), pp. 1681-1689. (doi:10.1088/0305-4470/37/5/014)

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The twisted XXZ chain alias the six-vertex model is investigated at roots of unity. It is shown that when the twist parameter is chosen to depend on the total spin an infinite-dimensional non-Abelian symmetry algebra can be explicitly constructed in all spin sectors. This symmetry algebra can be identified with the upper or lower Borel subalgebra of the sl2 loop algebra. The proof uses only the intertwining property of the six-vertex monodromy matrix and the familiar relations of the six-vertex Yang–Baxter algebra.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Korff, Dr Christian
Authors: Korff, C.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Physics A: Mathematical and General
Publisher:Institute of Physics Publishing Ltd.

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