Explicit determination of a 727-dimensional root space of the hyperbolic Lie algebra $E_{10}

J.Phys.A30:2433-2446,1997 The 727-dimensional root space associated with the level-2 root $\bLambda_1$ of the hyperbolic Kac--Moody algebra $E_{10}$ is determined using a recently developed string theoretic approach to hyperbolic algebras. The explicit form of the basis reveals a complicated structu...

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Bibliographic Details
Main Authors Bärwald, Oliver, Gebert, Reinhold W
Format Journal Article
LanguageEnglish
Published 23.10.1996
Subjects
Physics - High Energy Physics - Theory
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Summary:J.Phys.A30:2433-2446,1997 The 727-dimensional root space associated with the level-2 root $\bLambda_1$ of the hyperbolic Kac--Moody algebra $E_{10}$ is determined using a recently developed string theoretic approach to hyperbolic algebras. The explicit form of the basis reveals a complicated structure with transversal as well as longitudinal string states present.
Bibliography:IASSNS-HEP-96-103
DOI:10.48550/arxiv.hep-th/9610182