Hyperbolic Kac-Moody algebra from intersecting p-branes

Abstract

A subclass of a 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 solution to D = 11 supergravity related to hyperbolic Kac-Moody algebra ℱ3 (of rank 3). This solution describes the non-Kasner power-law inflation. © 1999 American Institute of Physics.