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An explicit form of the vertex operators in two-dimensional \(SL(2,\mathbb{C})\)-invariant field theory

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Publication:1174253
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DOI10.1007/BF00401644zbMath0749.17035MaRDI QIDQ1174253

Denis S. Juriev

Publication date: 25 June 1992

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


zbMATH Keywords

Verma modulesVirasoro algebraFock spacevertex operatorsBGG realization


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 (4)

On the representation of operator algebras of the quantum conformal field theory ⋮ Algebraic structures of quantum projective field theory related to fusion and braiding. Hidden additive weight ⋮ The explicit form of the vertex operator fields in two-dimensional quantum \(SL(2,{\mathbb{C}})\)-invariant field theory ⋮ Quantum projective field theory: Quantum-field analogs of the Euler- Arnol'd equations in projective \(G\) multiplets



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