New brane solutions from Killing spinor equations
Abstract
In a recent paper, we have pointed out a relation between the Killing spinor and Einstein equations. Using this relation, new brane solutions of D=11 and D=10 type IIB supergravity theories are constructed. It is shown that in a brane solution, the flat worldvolume directions, the smeared transverse directions and the sphere located at a fixed radial distance can be replaced with any Lorentzian Ricci flat, Euclidean Ricci flat and Einstein manifolds, respectively. The solution obtained in this fashion is supersymmetric when the Ricci flat and Einstein manifolds have Killing spinors. We generalize intersecting brane solutions, in which M5, M2 and D3branes also wrap over the cycles determined by the Kähler forms of Ricci flat Kähler manifolds. New, singular, Ricci flat manifolds as (generalized) cones over the U(1) bundles over Ricci flat Kähler spaces are constructed. These manifolds have covariantly constant spinors and give rise to new, supersymmetric, Ricci flat compactifications of nongauged supergravity theories. We find M2 and D3brane solutions, which asymptotically approach these singular vacua.
 Publication:

Nuclear Physics B
 Pub Date:
 September 2000
 DOI:
 10.1016/S05503213(00)002832
 arXiv:
 arXiv:hepth/0004199
 Bibcode:
 2000NuPhB.583..411K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages, Latex, typos corrected, minor changes