Representation Theory and Baxter's TQ equation for the six-vertex model. A pedagogical overview

Details Representation Theory and Baxter's TQ equation for the six-vertex model. A pedagogical overview Representation Theory and Baxter's TQ equation for the six-vertex model. A pedagogical overview

2004-11-30

arxiv.org/abs/cond-mat/0411758v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 figures. Based on a talk presented at the RIMS workshop "Progress in Solvable Lattice Models", Kyoto, July 2004

Scientific paper

A summary of the construction procedure of generalized versions of Baxter's Q-operator is given. Illustrated by several figures and diagrams the use of representation theory is explained step-by-step avoiding technical details. The relation with the infinite-dimensional non-abelian symmetries of the six-vertex model at roots of unity is discussed and parallels with the eight-vertex case outlined.

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