TYPE II VERTEX OPERATORS FOR THE $\bm{A_{\lc{n}-1}^{(1)}}$ FACE MODEL

DOI10.1142/S0217751X00000690zbMath1027.82508arXivsolv-int/9908009MaRDI QIDQ4507753

Yas-Hiro Quano, Hirotoshi Furutsu, Takeo Kojima

Publication date: 8 October 2000

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9908009

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Diagonalization of infinite transfer matrix of boundary Uq,p(AN−1(1)) face model

Cites Work

• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Elliptic algebra \(U_{q,p} (\widehat {\mathfrak {sl}}_2)\): Drinfeld currents and vertex operators
• Boundary ABF models
• Multi-point local height probabilities in the integrable RSOS model
• A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
• Quantum \({\mathcal W}\)-algebras and elliptic algebras
• Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
• Bosonization of vertex operators for the face model
• The elliptic quantum algebra Aq,p(sln∧) and its bosonization at level one

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