Symmetry, Integrability and Geometry: Methods and Applications (Jul 2009)
On Brane Solutions Related to Non-Singular Kac-Moody Algebras
Abstract
A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M_0 × M_1 × ... × M_n, where M_i 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: H_2(q,q), AE3, HA_2^{(1)}, E_{10} and Lorentzian KM algebra P_{10} are presented.
