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

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

1996-10-23

arxiv.org/abs/hep-th/9610182v1

J.Phys.A30:2433-2446,1997

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX 2e

Scientific paper

10.1088/0305-4470/30/7/022

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.

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