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arXiv · hep-th/9802121

Majumdar-Papapetrou Type Solutions in Sigma-model and Intersecting p-branes

V. D. Ivashchuk·V. N. Melnikov
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Abstract

The block-orthogonal generalization of the Majumdar-Papapetrou type solutions for the sigma-model studied earlier are obtained and corresponding solutions with p-branes are considered. The existence of solutions and the number of independent harmonic functions is defined by the matrix of scalar products of vectors $U^s$, governing the sigma-model target space metric. For orthogonal $U^s$, when target space is a symmetric homogeneous space, the solutions reduce to the previous ones. Two special classes of solutions with $U^s$ related to finite dimensional Lie algebras and hyperbolic (Kac-Moody) algebras are singled out and investigated. The affine Cartan matrices do not arise in the scheme under consideration. Some examples of obtained solutions and intersection rules for D=11 supergravity, related D=12 theory and extending them $B_D$-models are considered. For special multicenter solutions criterions for the existence of horizon and curvature singularity are found.

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V. D. Ivashchuk, V. N. Melnikov. 1998-09-15. Majumdar-Papapetrou Type Solutions in Sigma-model and Intersecting p-branes. https://doi.org/10.1088/0264-9381%2F16%2F3%2F016

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