Hyperbolic Kac-Moody Algebra from Intersecting p-branes

Abstract

A subclass of recently discovered class of solutions in multidimensional gravity with intersecting p-branes related to Lie algebras and governed by a set of harmonic functions is considered. This subclass in case of three Euclidean p-branes (one electric and two magnetic) contains a cosmological-type solution (in 11-dimensional model with two 4-forms) related to hyperbolic Kac-Moody algebra ${\mathcal{F}}_3$ (of rank 3). This solution describes the non-Kasner power-law inflation.

15 pages, Latex. A talk presented at the Second Winter School on Branes, Fields and Math. Phys. (Seoul, Korea). Corrected version. Journ. ref.: J. Math. Phys., 40, (1999) 4072-4083; Corrigenda to appear

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• Composite p-branes on Product of Einstein Spaces
• Sigma-model Solutions and Intersecting p-Branes Related to Lie Algebras
• On billiard approach in multidimensional cosmological models
• A Special Class of Rank 10 and 11 Coxeter Groups
• On Brane Solutions Related to Non-Singular Kac-Moody Algebras
• Black brane solutions related to non-singular Kac-Moody algebras
• Integrable spherically symmetric p-brane models associated with Lie algebras