Pasquier Models at c=1: Cylinder Partition Functions and the role of the Affine Coxeter Element

Details Pasquier Models at c=1: Cylinder Partition Functions and the role of the Affine Coxeter Element Pasquier Models at c=1: Cylinder Partition Functions and the role of the Affine Coxeter Element

1999-11-09

arxiv.org/abs/hep-th/9911058v1

J.Phys.A33:9101-9118,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 20 pages. Requires packages: vmargin, theorem, xspace, amsmath, amscd, amssymb, array. Requires and includes custom .st

Scientific paper

10.1088/0305-4470/33/49/306

We calculate the partition functions of the affine Pasquier models on the
cylinder in the continuum limit. We show that the partition function of any
affine model may be expressed in terms of the orbit structure of the affine
Coxeter element of the Weyl group associated with the defining graph of the
model. Some of the consequences of this geometric relationship are explored.

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