Primary operators of coset conformal field theories

DOI10.1063/1.529780zbMath0762.17020OpenAlexW2058381600MaRDI QIDQ3991987

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Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529780

zbMATH Keywords

Kac-Moody algebracosetrational conformal field theoriesconformal dimensionsdynamics of primary states

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

• Unitary representations of the Virasoro and super-Virasoro algebras
• Modular and conformal invariance constraints in representation theory of affine algebras
• Modular invariant partition functions in two dimensions
• Current algebras and Wess-Zumino model in two dimensions
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS