Hecke surfaces and duality transformations in lattice spin systems

DOI10.1007/S11232-010-0065-8zbMath1252.82032OpenAlexW2083929369MaRDI QIDQ2276459

M. I. Monastyrskij

Publication date: 5 November 2012

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-010-0065-8

zbMATH Keywords

Potts modelduality transformationHecke group

Mathematics Subject Classification ID

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

Related Items (1)

Hecke graphs, Ramanujan graphs and generalized duality transformations for lattice spin systems

Cites Work

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• Platonic surfaces
• Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi
• Index for subfactors
• Conformal extension of metrics of negative curvature
• McKay's correspondence for cocompact discrete subgroups of SU(1,1)
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• Generalized Kramers–Wannier duality for spin systems with non-commutative symmetry
• Belyi Functions, Hypermaps and Galois Groups

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