MATHEMATICA™ PACKAGES FOR COMPUTING PRINCIPAL DECOMPOSITIONS OF SIMPLE LIE ALGEBRAS AND APPLICATIONS IN EXTENDED CONFORMAL FIELD THEORIES

DOI10.1142/S012918310300419XzbMath1082.17001OpenAlexW2083593231MaRDI QIDQ5715618

Daniela Garajeu, Mihail Gărăjeu

Publication date: 4 January 2006

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s012918310300419x

zbMATH Keywords

conformal field theoryprimary fieldssimple Lie algebra\(W\)-algebraprincipal decomposition

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Computational methods for problems pertaining to quantum theory (81-08) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Simple, semisimple, reductive (super)algebras (17B20) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Uses Software

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Cites Work

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• Lie algebras and equations of Korteweg-de Vries type
• Conformally and projective covariant differential operators
• Semisimple subalgebras of semisimple Lie algebras
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• 𝒲-gauge structures and their anomalies: An algebraic approach

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