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

dc.creatorRichard, Jean-Francois
dc.creatorJacobsen, Jesper Lykke
dc.date2006-05-04
dc.date.accessioned2026-07-07T08:26:31Z
dc.date.available2026-07-07T08:26:31Z
dc.descriptionWe 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.
dc.description27 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0605015
dc.identifierhttp://arxiv.org/abs/math-ph/0605015
dc.identifierNuclear Physics B 750 (2006) 229-249
dc.identifierdoi:10.1016/j.nuclphysb.2006.05.027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136963
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.titleCharacter decomposition of Potts model partition functions. II. Toroidal geometry
dc.typetext

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