On Root Multiplicities of Some Hyperbolic Kac-Moody Algebras

Abstract

Using the coset construction, we compute the root multiplicities at level three for some hyperbolic Kac-Moody algebras including the basic hyperbolic extension of $A_1^{(1)}$ and $E_{10}$.

10 pages, LaTeX

References in corpus (1)

• Algebras, BPS States, and Strings

Cited by in corpus (4)

• M-theory and E10: Billiards, Branes, and Imaginary Roots
• On the Imaginary Simple Roots of the Borcherds Algebra $g_{I{I}_{9,1}}$
• E10 Orbifolds
• Missing Modules, the Gnome Lie Algebra, and $E_{10}$