Towards Yang-Baxter integrability of quantum crystal melting: from Kagome lattice to vertex models

DOI10.1016/j.nuclphysb.2020.115287OpenAlexW3084675853MaRDI QIDQ2231885

Thiago R. Araujo

Publication date: 30 September 2021

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

Full work available at URL: https://arxiv.org/abs/2009.06812

zbMATH Keywords

Kagome lattice6-vertex modelYang-Baxter integrability

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25) Fermionic systems in quantum theory (81V74)

Cites Work

• Quantum crystals and spin chains
• History of the Lenz-Ising model 1950-1965: from irrelevance to relevance
• \( \mathcal{W} \) -symmetry, topological vertex and affine Yangian
• Higher spins and Yangian symmetries
• Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations
• Quantum groups and quantum cohomology
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