New brane solutions from Killing spinor equations

In a recent paper, we have pointed out a relation between the Killing spino r and Einstein equations. Using this relation, new brane solutions of D = 1 1 and D = 10 type IIB supergravity theories are constructed, It is shown th at in a brane solution, the flat world-volume directions, the smeared trans verse directions and the sphere located at a fixed radial distance can be r eplaced with any Lorentzian Ricci Bat, Euclidean Ricci flat and Einstein ma nifolds, respectively. The solution obtained in this fashion is supersymmet ric when the Ricci flat and Einstein manifolds have Killing spinors. We gen eralize intersecting brane solutions, in which M5-, M2- and D3-branes also wrap over the cycles determined by the Kahler forms of Ricci flat Kahler ma nifolds. New, singular, Ricci flat manifolds as (generalized) cones over th e U(1) bundles over Ricci flat Kahler spaces are constructed. These manifol ds have covariantly constant spinors and give rise to new, supersymmetric, Ricci Bat compactifications of non-gauged supergravity theories. We find M2 - and D3-brane solutions, which asymptotically approach these singular vacu a. (C) 2000 Elsevier Science B.V. All rights reserved.