English

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

High Energy Physics - Theory 2008-11-26 v1

Abstract

The 727-dimensional root space associated with the level-2 root \bLambda1\bLambda_1 of the hyperbolic Kac--Moody algebra E10E_{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.

Keywords

Cite

@article{arxiv.hep-th/9610182,
  title  = {Explicit determination of a 727-dimensional root space of the hyperbolic Lie algebra $E_{10}$},
  author = {Oliver Bärwald and Reinhold W. Gebert},
  journal= {arXiv preprint arXiv:hep-th/9610182},
  year   = {2008}
}

Comments

12 pages, LaTeX 2e