On the representation of operator algebras of the quantum conformal field theory

DOI10.1063/1.529783zbMath0749.17034OpenAlexW2028773318MaRDI QIDQ3991990

Denis S. Juriev

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529783

zbMATH Keywords

Verma modulesVirasoro algebraoperator algebravertex operatorsquantum conformal field theory

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (2)

Complex projective geometry and quantum projective field theory ⋮ Noncommutative geometry, chiral anomaly in the quantum projective [sl(2,C)-invariant field theory and jl(2,C)-invariance]

Cites Work

• Unnamed Item
• Operator content of two-dimensional conformally invariant theories
• Classical and quantum conformal field theory
• Representations of the Virasoro algebra by the orbit method
• Rationality in conformal field theory
• Extremum functions of finite families of convex homogeneous functions
• Infinite conformal symmetry in two-dimensional quantum field theory
• Interpolation of quasilinear operators and inequalities for entire functions in symmetric spaces
• An explicit form of the vertex operators in two-dimensional \(SL(2,\mathbb{C})\)-invariant field theory

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