On \(E_{10}\) and the DDF construction

DOI10.1007/BF02101809zbMath0854.17030arXivhep-th/9406175OpenAlexW2002215788MaRDI QIDQ1901798

Reinhold W. Gebert, Hermann Nicolai

Publication date: 29 October 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9406175

zbMATH Keywords

vertex algebrashyperbolic Kac-Moody algebrasWeyl chamberdiscrete DDF constructionlongitudinal DDF statesroot spaces of \(E_{10}\)

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) String and superstring theories in gravitational theory (83E30) 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)

Related Items

Algebras, BPS states, and strings, Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories, E\(_{11}\) as E\(_{10}\) representation at low levels, Borcherds algebras and \( \mathcal{N} = 4 \) topological amplitudes, Beyond the Frenkel-Kac-Segal construction of affine Lie algebras, An affine string vertex operator construction at an arbitrary level, To see symmetry in a forest of trees, Universal simple current vertex operators, Classical symmetries of some two-dimensional models, Extended affine root system. IV: Simply-laced elliptic Lie algebras

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