E_{10} for beginners

Abstract

We present a nontechnical introduction to the hyperbolic Kac Moody algebra E_{10} and summarize our recent attempt to understand the root spaces of Kac Moody algebras of hyperbolic type in terms of a DDF construction appropriate to a subcritical compactified bosonic string.

LATEX, 11 pages, no figures, Contribution to Guersey Memorial Conference Proceedings '94

References in corpus (5)

• Null Killing Vector Dimensional Reduction and Galilean Geometrodynamics
• Finite in All Directions
• On $E_{10}$ and the DDF construction
• Physical States and String Symmetries
• Introduction to Vertex Algebras, Borcherds Algebras, and the Monster Lie Algebra

Cited by in corpus (8)

• Algebras, BPS States, and Strings
• U-duality and M-Theory
• Generalized spin representations
• Complexity and the Big Bang
• Explicit determination of a 727-dimensional root space of the hyperbolic Lie algebra $E_{10}$
• On Dimensional Reduction of Magical Supergravity Theories
• N-Extended Lorentzian Kac-Moody algebras
• From Binary Error Correcting Codes to a Relation Between Maximal D=4 and D=3 Supergravities