Character decomposition of Potts model partition functions. II. Toroidal geometry

Details Character decomposition of Potts model partition functions. II. Toroidal geometry Character decomposition of Potts model partition functions. II. Toroidal geometry

2006-05-04

arxiv.org/abs/math-ph/0605015v1

Nuclear Physics B 750 (2006) 229-249

Physics

Mathematical Physics

27 pages, 4 figures

Scientific paper

10.1016/j.nuclphysb.2006.05.027

We extend our combinatorial approach of decomposing the partition function of the Potts model on finite two-dimensional lattices of size L x N to the case of toroidal boundary conditions. The elementary quantities in this decomposition are characters K\_{l,D} labelled by a number of bridges l=0,1,...,L and an irreducible representation D of the symmetric group S\_l. We develop an operational method of determining the amplitudes of the eigenvalues as well as some of their degeneracies.

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