Incidence Matrix Description of Intersecting p-brane Solutions
High Energy Physics - Theory
2007-05-23 v1
Abstract
An algebraic method for a general construction of intersecting p-brane solutions in diverse spacetime dimensions is discussed. An incidence matrix describing configurations of electric and magnetic fields is introduced. Intersecting p-branes are specified by solutions of a system of characteristic algebraic equations for the incidence matrix. This set of characteristic equations generalizes a single characteristic equation found before for a special "flower" ansatz. The characteristic equations admit solutions only for quantized values of scalar coupling parameters. A wide list of examples including solutions with regular horizons and non-zero entropy in D=11 and D=10 theories is presented.
Cite
@article{arxiv.hep-th/9612236,
title = {Incidence Matrix Description of Intersecting p-brane Solutions},
author = {I. Ya. Aref'eva and O. A. Rytchkov},
journal= {arXiv preprint arXiv:hep-th/9612236},
year = {2007}
}
Comments
28 pages, Latex, emlines2.sty