scientific article; zbMATH DE number 1264140

zbMath0920.17012arXivhep-th/9702194MaRDI QIDQ4233046

Jürgen Fuchs

Publication date: 19 September 1999

Full work available at URL: https://arxiv.org/abs/hep-th/9702194

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zbMATH Keywords

Kac-Moody algebrasdualitymodular transformationsaffine Lie algebrasfusion rulesconformal quantum field theoryloop algebrasWZW theoriescoset theories

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)

Related Items (5)

Noninteraction of waves in two-dimensional conformal field theory ⋮ Quasi-Lie structure of \(\sigma \)-derivations of \(\mathbb C[t^{\pm 1}\)] ⋮ Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities ⋮ Symmetry-breaking boundary states for WZW models ⋮ Branes: From free fields to general backgrounds

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