Narrow Results

We present a class of static membrane solutions, with nonflat world volume geometry, in the eleven-dimensional supergravity with source terms. This class of solutions contains supersymmetric as well as a large class of nonsupersymmetric configurations. We comment about the near horizon limit and stability of these solutions and point out an interesting relation with a certain two-dimensional dilaton gravity system.

Partially supersymmetric intersecting (non-marginal) composite M-brane solutions defined on the product of Ricci-flat manifolds M₀ × M₁ × ⋯ × M_n in D = 11 supergravity are considered and formulae for fractional numbers of unbroken supersymmetries are derived for the following configurations of branes: M2 ∩ M2, M2 ∩ M5, M5 ∩ M5 and M2 ∩ M2 ∩ M2. Certain examples of partially supersymmetric configurations are presented.