Local state probabilities for solvable restricted solid-on-solid models: \(A_ n,\;D_ n,\;D^{(1)}_ n,\) and \(A^{(1)}_ n\).

DOI10.1007/BF01019732zbMath1084.82520OpenAlexW2045296938MaRDI QIDQ1963510

Tetsu Yajima, Atsuo Kuniba

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01019732

zbMATH Keywords

modular functionStatistical mechanicsstar-triangle relationbranching coefficientsolid-on-solid modelslocal state probability

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Operator content of two-dimensional conformally invariant theories
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\)
• Solvable lattice models related to the vector representation of classical simple Lie algebras
• Infinite conformal symmetry in two-dimensional quantum field theory
• Virasoro algebras and coset space models
• Modular invariant partition functions in two dimensions
• Exactly solvable SOS models. Local height probabilities and theta function identities
• Index for subfactors
• Rogers-Ramanujan identities in the hard hexagon model
• Local state probabilities for an infinite sequence of solvable lattice models
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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