Onsager algebra and algebraic generalization of Jordan-Wigner transformation

DOI10.1016/j.nuclphysb.2021.115599zbMath1482.82028arXiv2108.03811OpenAlexW3214074206MaRDI QIDQ2057812

Kazuhiko Minami

Publication date: 7 December 2021

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

Full work available at URL: https://arxiv.org/abs/2108.03811

zbMATH Keywords

Ising modelJordan-Wigner transformationOnsager algebra

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

Cites Work

• Unnamed Item
• A new (in)finite-dimensional algebra for quantum integrable models
• \(\text{sl}(N)\) Onsager's algebra and integrability.
• Infinite number of solvable generalizations of XY-chain, with cluster state, and with central charge \(c = \frac{m}{2}\)
• Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations
• FRT presentation of the Onsager algebras
• Generalized Onsager algebras
• The half-infinite XXZ chain in Onsager's approach
• ONSAGER ALGEBRA AND INTERGRABLE LATTICE MODELS
• Relationship among Exactly Soluble Models of Critical Phenomena. I
• Exact transverse susceptibility of one-dimensional random bond Ising model with alternating spin
• New symmetries of the chiral Potts model
• Onsager’s algebra and the Dolan–Grady condition in the non-self-dual case
• The zero-field susceptibility of the transverse Ising chain with arbitrary spin
• Dolan–Grady relations and noncommutative quasi-exactly solvable systems
• The structure of quotients of the Onsager algebra by closed ideals *
• A deformed analogue of Onsager’s symmetry in the XXZ open spin chain
• Exact spectrum of the XXZ open spin chain from theq-Onsager algebra representation theory
• Perpendicular Susceptibility of the Ising Model
• Statistical Mechanics of the Anisotropic Linear Heisenberg Model
• Free parafermions
• Onsager's algebra and superintegrability
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra