U q [sl (2| ∧ 1)] vertex operators, screen currents, and correlation functions at an arbitrary level

DOI10.1063/1.533409zbMath0972.81074arXivmath/9911058OpenAlexW1606083962WikidataQ60732549 ScholiaQ60732549MaRDI QIDQ2738113

Yao-Zhong Zhang, Mark D. Gould

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/9911058

zbMATH Keywords

intertwinersquantum affine superalgebra\(N\)-point functions of type I and type IIbosonized \(q\)-vertex operatorsfour-dimensional evaluation moduleslevel-\(\alpha\) highest weight Fock-Wakimoto modules

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (5)

Commutation relations of vertex operators for Uq(sl^(M|N)) ⋮ A bosonization of \(U_q\left(\widehat{sl}(M| N)\right)\) ⋮ The q-Wakimoto Realization of the Superalgebras $$U_{q}(\widehat{sl}(N|1))$$ and $$U_{q,p}(\widehat{sl}(N|1))$$ ⋮ Free field realization of quantum affine superalgebra $U_q(\widehat{{sl}}(N|1))$Uq(sl̂(N|1)) ⋮ Screenings and vertex operators of quantum superalgebra $U_q(\widehat{{sl}}(N|1))$Uq(sl̂(N|1))

Cites Work

• Vertex operator representations of the quantum affine algebra \(U_ q(B_ r^{(1)})\)
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• Quantum affine algebras and holonomic difference equations
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Free boson representation of \(q\)-vertex operators and their correlation functions
• A \(q\)-deformation of Wakimoto modules, primary fields and screening operators
• Free boson realization of \(U_ q(\widehat{sl_ N} )\)
• Staggered polarization of vertex models with \(U_ q(\widehat {sl}(n))\)- symmetry
• \(q\)-difference realization of \(U_q(sl(M|N))\) and its application to free boson realization of \(U_q(\widehat{sl}(2|1))\)
• A level-one representation of the quantum affine superalgebra \(U_q(\widehat{\mathfrak sl}(M+1\mid N+1))\)
• Highest weight representations of \(U_q(\widehat{\text{sl}}(2|1))\) and correlation functions of the \(q\)-deformed supersymmetric \(t\)-\(J\) model
• The twisted quantum affine algebra \(U_ q(A^{(2)}_ 2)\) and correlation functions of the Izergin-Korepin model.
• Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)
• On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras
• BRST COHOMOLOGY IN QUANTUM AFFINE ALGEBRA $U_q \left( {\widehat{sl_2 }} \right)$
• Vertex operators of Uq[gl(N∧|N) and highest weight representations of Uq[gl(2|∧2)]]
• MATRIX ELEMENTS OF U_q[su(2)_k VERTEX OPERATORS VIA BOSONIZATION]
• Vertex representations of quantum affine algebras
• Vertex operators for twisted quantum affine algebras
• Comments on the Drinfeld realization of the quantum affine superalgebra and its Hopft algebra structure
• Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N̂|N)]

This page was built for publication: U q [sl (2| ∧ 1)] vertex operators, screen currents, and correlation functions at an arbitrary level