Algebraic structures of quantum projective field theory related to fusion and braiding. Hidden additive weight
DOI10.1063/1.530473zbMath0807.17027arXivhep-th/9403051OpenAlexW3100572865MaRDI QIDQ4317954
Publication date: 25 January 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9403051
representationsbraidingfusioncorrelation charactersenveloping quantum projective field theoryprojective Zamolodchikov algebrasQPFT-operator algebrasspherical correlation functions
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
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Cites Work
- Central extensions of quantum current groups
- Classical and quantum conformal field theory
- From geometric quantization to conformal field theory
- Quantum inverse problem method. I
- Infinite conformal symmetry in two-dimensional quantum field theory
- Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
- An explicit form of the vertex operators in two-dimensional \(SL(2,\mathbb{C})\)-invariant field theory
- The explicit form of the vertex operator fields in two-dimensional quantum \(SL(2,{\mathbb{C}})\)-invariant field theory
- Three algebraic structures of quantum projective [\(sl(2,\mathbb{C})\)- invariant field theory]
- Structure of representations generated by vectors of highest weight
- Beyond the Enveloping Algebra of sl3
- Vertex algebras, Kac-Moody algebras, and the Monster
