P-brane black holes for general intersections
V. D. Ivashchuk, V. N. Melnikov
Abstract
Black hole generalized p-brane solutions for a wide class of intersection rules are presented. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat internal spaces. They are defined up to moduli functions Hs = Hs(R) obeying a non-linear differential equations (equivalent to Toda-type equations) with certain boundary conditions imposed. Using conjecture on polynomial structure of Hs for intersections related to Lie algebras, new A2-dyon solutions are obtained. Two examples of these A2-dyon solutions, i.e. dyon in D = 11 supergravity with M2 and M5 branes intersecting at a point and dyon in Kaluza-Klein theory, are considered.
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