A one-parameter refinement of the Razumov-Stroganov correspondence

DOI10.1016/j.jcta.2014.07.003zbMath1303.82010arXiv1202.5253OpenAlexW2964054709MaRDI QIDQ406583

Luigi Cantini, Andrea Sportiello

Publication date: 8 September 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5253

zbMATH Keywords

alternating sign matricesdense loop modelRazumov-Stroganov correspondencefully-packed loop modelXXZ quantum spin chain

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

Diagonally and antidiagonally symmetric alternating sign matrices of odd order ⋮ Arctic curves of the six-vertex model on generic domains: the tangent method ⋮ Chained permutations and alternating sign matrices -- inspired by three-person chess ⋮ Sign matrix polytopes from Young tableaux ⋮ A one-parameter refinement of the Razumov-Stroganov correspondence ⋮ Spin chains with dynamical lattice supersymmetry ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ The toggle group, homomesy, and the Razumov-Stroganov correspondence ⋮ Arctic boundaries of the ice model on three-bundle domains ⋮ Proof of the Razumov-Stroganov conjecture

Uses Software

• ROBBINS

Cites Work

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