Character decomposition of Potts model partition functions. II. Toroidal geometry
Jean-Francois Richard, Jesper Lykke Jacobsen
Abstract
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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