Beyond the Frenkel-Kac-Segal construction of affine Lie algebras

DOI10.1016/s0920-5632(97)00334-4zbMath0925.17028arXivhep-th/9612179OpenAlexW3098030087MaRDI QIDQ6205130

Reinhold W. Gebert

Publication date: 10 June 1997

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9612179

zbMATH Keywords

Sugawara operatorsstring modelaffine Weyl translationsDDF operatorsLorentz generatorsMinkowskian torus

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Cites Work

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• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• On \(E_{10}\) and the DDF construction
• Algebras, BPS states, and strings
• MULTISTRING VERTICES AND HYPERBOLIC KAC-MOODY ALGEBRAS

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