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The loop-weight changing operator in the completely packed loop model

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Publication:2001256
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DOI10.1007/978-3-030-04161-8_46zbMath1419.82016OpenAlexW2922401211MaRDI QIDQ2001256

Kayed Al Qasimi, Bernard Nienhuis

Publication date: 2 July 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-04161-8_46


zbMATH Keywords

latticeloop modelTemperley-Lieb (TL) model


Mathematics Subject Classification ID

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





Cites Work

  • Proof of the Razumov-Stroganov conjecture
  • Current algebras and Wess-Zumino model in two dimensions
  • Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule
  • Symmetry classes of alternating-sign matrices under one roof
  • Combinatorial nature of the ground-state vector of the \(\mathrm{O}(1)\) loop model
  • The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions
  • Exact conjectured expressions for correlations in the dense O(1) loop model on cylinders
  • Symmetry classes of alternating sign matrices in a nineteen-vertex model
  • Equivalence of the Potts model or Whitney polynomial with an ice-type model
  • Spin chains and combinatorics




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