Twisted vertex representations of quantum affine algebras

DOI10.1007/BF01233443zbMath0692.17006OpenAlexW2092314185MaRDI QIDQ583346

Naihuan Jing

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143849

zbMATH Keywords

correlation functionsvertex operatorsq-deformationtwisted quantum afine algebras

Mathematics Subject Classification ID

Related Items (32)

A categorification of twisted Heisenberg algebras ⋮ Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation ⋮ Drinfeld realization of quantum twisted affine algebras via braid group ⋮ A REMARK ON GROUND STATE OF BOUNDARY IZERGIN–KOREPIN MODEL ⋮ A bosonization of \(U_q\left(\widehat{sl}(M| N)\right)\) ⋮ Bosonic realizations of \(U_q(C_n^{(1)})\) ⋮ A twisted quantum toroidal algebra ⋮ Twisted quantum affinizations and their vertex representations ⋮ Noncommutative geometry, chiral anomaly in the quantum projective [sl(2,C)-invariant field theory and jl(2,C)-invariance] ⋮ Shifted quantum groups and matter multiplets in supersymmetric gauge theories ⋮ Vertex representation of quantum N-toroidal algebra for type F₄ ⋮ Twisted quantum toroidal algebras \(T_q^{-}(\mathfrak g)\) ⋮ \(U_q(\widehat{\mathfrak{gl}}_N)\) action on \(\widehat{\mathfrak{gl}}_N\)-modules and quantum toroidal algebras. ⋮ Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis ⋮ Vertex operators and Hall-Littlewood symmetric functions ⋮ A quantized Tits-Kantor-Koecher algebra ⋮ Graded Cartan determinants of the symmetric groups ⋮ Vertex representations of quantum N-toroidal algebras for type C ⋮ Drinfeld Realization of Twisted Quantum Affine Algebras ⋮ Quantum z-algebras and representations of quantum affine algebras ⋮ Two-parameter quantum vertex representations via finite groups and the McKay correspondence ⋮ A unified view of some vertex operator constructions ⋮ Two-parameter twisted quantum affine algebras ⋮ The q-Wakimoto Realization of the Superalgebras $$U_{q}(\widehat{sl}(N|1))$$ and $$U_{q,p}(\widehat{sl}(N|1))$$ ⋮ Fermionic realization of two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak{sl}}_n)\) ⋮ Vertex representations for Yangians of Kac-Moody algebras ⋮ Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation ⋮ THE QUANTUM KNIZHNIK–ZAMOLODCHIKOV EQUATION ASSOCIATED WITH $U_q(A_2^{(2)})$ FOR |q| = 1 ⋮ Free field realization of quantum affine superalgebra $U_q(\widehat{{sl}}(N|1))$Uq(sl̂(N|1)) ⋮ Vertex operators for twisted quantum affine algebras ⋮ Twisted quantum affinizations and quantization of extended affine lie algebras ⋮ Screenings and vertex operators of quantum superalgebra $U_q(\widehat{{sl}}(N|1))$Uq(sl̂(N|1))

Cites Work

• Unnamed Item
• Vertex operator representations of the quantum affine algebra \(U_ q(B_ r^{(1)})\)
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum deformations of certain simple modules over enveloping algebras
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Calculus of twisted vertex operators
• Vertex representations of quantum affine algebras

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