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

DOI10.1063/1.529551zbMath0768.17013OpenAlexW2093324450MaRDI QIDQ4032274

Denis S. Juriev

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529551

zbMATH Keywords

chiral anomalyfusion rulesquantum projective field theories

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Applications of Lie (super)algebras to physics, etc. (17B81) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (1)

Quantum projective field theory: Quantum-field analogs of the Euler- Arnol'd equations in projective \(G\) multiplets

Cites Work

• Some remarks on Koszul algebras and quantum groups
• Twisted vertex representations of quantum affine algebras
• Classification of vertex operators in two-dimensional sl(2,\({\mathbb{C}})\)- invariant quantum field theory
• \((T^*G)_ t\): a toy model for conformal field theory
• Beyond the Enveloping Algebra of sl₃
• Vertex algebras, Kac-Moody algebras, and the Monster
• Projective reduction in quantum conformal field theory
• On the representation of operator algebras of the quantum conformal field theory

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