Abstract
The block-orthogonal generalization of the Majumdar-Papapetrou-type solutions for the -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 , governing the -model target space metric. For orthogonal , when the target space is a symmetric homogeneous space, the solutions reduce to the previous ones. Two special classes of obtained solutions with 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 solutions and intersection rules for D = 11 supergravity, related D = 12 theory, and extending them -models, are considered. For special multicentre solutions criteria for the existence of horizon and curvature singularity are found.
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