Vertex Operator Approach to Semi-infiniteSpin Chain: Recent Progress

DOI10.1007/978-4-431-55285-7_18zbMath1320.82013arXiv1404.5747OpenAlexW1823758799MaRDI QIDQ5261345

Takeo Kojima

Publication date: 3 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5747

zbMATH Keywords

Yang-Baxter equationbosonizationsvertex operator approach

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Yang-Baxter equations (16T25)

Cites Work

• A level-one representation of the quantum affine superalgebra \(U_q(\widehat{\mathfrak sl}(M+1\mid N+1))\)
• \(XXZ\) chain with a boundary
• The half-infinite XXZ chain in Onsager's approach
• Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
• The Uq(sln∧) analogue of the XXZ chain with a boundary
• Boundary conditions for integrable quantum systems
• Diagonalization of transfer matrix of supersymmetry $U_{q}(\widehat{sl}(M+1|N+1))$Uq(sl̂(M+1|N+1)) chain with a boundary

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