On Brane Solutions Related to Non-Singular Kac-Moody Algebras

Abstract

A multidimensional gravitational model containing scalar fields and antisym- metric forms is considered. The manifold is chosen in the form M = M0 ◊ M1 ◊ ··· ◊ Mn, where Mi are Einstein spaces (i 1). The sigma-model approach and exact solutions with intersecting composite branes (e.g. solutions with harmonic functions, S-brane and black brane ones) with intersection rules related to non-singular Kac-Moody (KM) algebras (e.g. hyperbolic ones) are reviewed. Some examples of solutions, e.g. corresponding to hyperbolic KM algebras: H2(q,q), AE3, HA (1) , E10 and Lorentzian KM algebra P10 are presented.