On Brane Solutions Related to NonSingular KacMoody 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 sigmamodel approach and exact solutions with intersecting composite branes (e.g. solutions with harmonic functions, Sbrane and black brane ones) with intersection rules related to nonsingular KacMoody (KM) algebras (e.g. hyperbolic ones) are reviewed. Some examples of solutions, e.g. corresponding to hyperbolic KM algebras: H_{2}(q,q), AE_{3}, HA_{2}^{(1)}, E_{10} and Lorentzian KM algebra P_{10} are presented.
 Publication:

SIGMA
 Pub Date:
 July 2009
 DOI:
 10.3842/SIGMA.2009.070
 arXiv:
 arXiv:0810.0196
 Bibcode:
 2009SIGMA...5..070I
 Keywords:

 KacMoody algebras;
 Sbranes;
 black branes;
 sigmamodel;
 Toda chains;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 SIGMA 5 (2009), 070, 34 pages