Inhomogeneous loop models with open boundaries

DOI10.1088/0305-4470/38/27/001zbMath1107.05008arXivmath-ph/0504032OpenAlexW2141223389MaRDI QIDQ5316278

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Publication date: 12 September 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0504032

zbMATH Keywords

alternating sign matricesLoop models

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (11)

Exact spin quantum Hall current between boundaries of a lattice strip ⋮ The exact finite size ground state of the O(n= 1) loop model with open boundaries ⋮ The Jordan structure of two-dimensional loop models ⋮ The dilute Temperley–Lieb O(n  =  1) loop model on a semi infinite strip: the ground state ⋮ The dilute Temperley–Lieb O(n  =  1) loop model on a semi infinite strip: the sum rule ⋮ Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions, and alternating sign matrices ⋮ Finite-size left-passage probability in percolation ⋮ Boundary qKZ equation and generalized Razumov–Stroganov sum rules for open IRF models ⋮ Loop model with mixed boundary conditions,qKZ equation and alternating sign matrices ⋮ Open boundary quantum Knizhnik–Zamolodchikov equation and the weighted enumeration of plane partitions with symmetries ⋮ Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatorics

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