Classification of the local extensions of the SU(3) chiral current algebra

DOI10.1063/1.531339zbMath0833.17027OpenAlexW4232128562MaRDI QIDQ4836958

Yassen S. Stanev

Publication date: 12 March 1996

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

Full work available at URL: https://doi.org/10.1063/1.531339

zbMATH Keywords

polynomial solutionsKac-Moody algebraKnizhnik-Zamolodchikov equationsconformal current algebrachiral algebra of observablestwo-dimensional conformal current algebra

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) Relationship to Lie algebras and finite simple groups (11F22) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (1)

Twenty five years of two-dimensional rational conformal field theory

Cites Work

• Modular invariant partition functions in two dimensions
• Current algebras and Wess-Zumino model in two dimensions
• $\widehat{{\rm su}}\left( 3 \right)_k $ FUSION COEFFICIENTS
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Level one Kac-Moody characters and modular invariance

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