Dimers and the critical Ising model on lattices of genus \(>1\)

DOI10.1016/S0550-3213(01)00611-3zbMath1097.82518arXivhep-th/0109167MaRDI QIDQ5955486

Ruben Costa-Santos, Barry M. McCoy

Publication date: 13 February 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0109167

zbMATH Keywords

partition functionboundary condition dependenceKasteleyn adjancency matrix determinants

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (8)

Dimers on surface graphs and spin structures. I ⋮ The 3D dimer and Ising problems revisited ⋮ Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics ⋮ Discrete Dirac operators on Riemann surfaces and Kasteleyn matrices ⋮ Discrete Dirac operators, critical embeddings and Ihara-Selberg functions ⋮ Identities between dimer partition functions on different surfaces ⋮ The critical Ising model via Kac-Ward matrices ⋮ Graphs, Links, and Duality on Surfaces

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