Vertex operators of level-one \(\text{U}_q(B_n^{(1)})\)-modules

DOI10.1007/BF00714376zbMath0977.17024OpenAlexW1980686349MaRDI QIDQ1906268

Naihuan Jing, Kailash C. Misra

Publication date: 11 March 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00714376

zbMATH Keywords

quantum affine algebrafundamental moduleslevel-one vertex operators

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (10)

Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation ⋮ Commutation relations of vertex operators for Uq(sl^(M|N)) ⋮ Higher level vertex operators for \(U_q \left( \widehat{\mathfrak {sl}}_2\right)\) ⋮ Vertex representation of quantum N-toroidal algebra for type F₄ ⋮ Principal subspaces for quantum affine algebra \(U_q(A_n^{(1)})\) ⋮ Quantum z-algebras and representations of quantum affine algebras ⋮ Vertex operators of admissible modules of \(U_q(C_n^{(1)})\) ⋮ Vertex representations for Yangians of Kac-Moody algebras ⋮ Vertex operators for twisted quantum affine algebras ⋮ Elliptic algebra \(U_{q,p}(\hat{\mathfrak {g}})\) and quantum \(Z\)-algebras

Cites Work

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• Vertex operator representations of the quantum affine algebra \(U_ q(B_ r^{(1)})\)
• Quantum affine algebras
• Quantum affine algebras and holonomic difference equations
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Crystal base and \(q\)-vertex operators
• Free boson representation of \(q\)-vertex operators and their correlation functions
• A \(q\)-deformation of Wakimoto modules, primary fields and screening operators
• Staggered polarization of vertex models with \(U_ q(\widehat {sl}(n))\)- symmetry
• Braid group action and quantum affine algebras
• Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)
• Vertex representations of quantum affine algebras
• AFFINE CRYSTALS AND VERTEX MODELS

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