fBlack hole generalized p-brane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat 'internal' spaces. They are defined up to a set of functions H-s obeying non-linear differential equations equivalent to Toda-type equations with certain boundary conditions imposed. A conjecture on polynomial structure of governing functions H-s for intersections related to semisimple Lie algebras is suggested. This conjecture is proved for the Lie algebras: A(m), Cm+1, m greater than or equal to 1. For simple Lie algebras the powers of polynomials coincide with the components of the dual Weyl vector in the basis of simple roots. The coefficients of polynomials depend upon the extremality parameter mu > 0. In the extremal case mu = 0 such polynomials were considered previously by H Lu, J Maharana, S Mukherji and C N Pope. Explicit formulae for the A(2)-solution are obtained. Two examples of A(2)-dyon solutions, i.e., dyon in D = 11 supergravity with M2 and M5 branes intersecting at a point and the Kaluza-Klein dyon, are considered.

Authors

Journal

Number of issue

10

Language

English

Pages

2073-2092

Status

Published

Volume

17

Year

2000

Date of creation

19.10.2018

Date of change

19.10.2018

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Russian Journal of Coordination Chemistry/Koordinatsionnaya Khimiya.
Vol. 26.
2000.
P. 429-432

Chemistry of Heterocyclic Compounds / KHIMIYA GETEROTSIKLICHESKIKH SOEDINENII.
Латвийский институт органического синтеза Латвийской академии наук.
2000.
P. 703-704