The Yangian symmetry for three-spin-1/2 and four-spin-1/2 Heisenberg XXX models

DOI10.1142/S0219749914500063zbMath1288.82015MaRDI QIDQ5418826

Chunfang Sun, Kang Xue, Gangcheng Wang, Bo Liu, Ying Liu

Publication date: 28 May 2014

Published in: International Journal of Quantum Information (Search for Journal in Brave)

zbMATH Keywords

Yangian symmetryshift operatorsHeisenberg \(XXX\) model

Mathematics Subject Classification ID

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

Cites Work

• Yangian symmetry in molecule \{V6\} and four-spin Heisenberg model
• On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions
• Yangians and transition operators.
• The Yangian symmetry of the Hubbard models with variable range hopping
• The Haldane-Shastry spin chain and the topological basis realization
• AN INTRODUCTION TO YANGIAN SYMMETRIES
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Many-spinon states and representations of Yangians in the SU(n) Haldane–Shastry model

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