CalabiYau metrics from superspace.
Abstract
A formula for hyperkahler metrics is derived using superspace techniques. These metrics are Kahler, Ricci flat and have dimension a multiple of 4. Thus they satisfy the Vacuum Einstein equations and are analogs of the manifolds favored for superstring compactification. Hyperkahler metrics are also solutions to the three level equation of motion for the superstring.
 Publication:

13th Texas Symposium on Relativistic Astrophysics
 Pub Date:
 1987
 Bibcode:
 1987txra.symp...60E
 Keywords:

 Einstein Equations;
 Equations Of Motion;
 Manifolds (Mathematics);
 SpaceTime Functions;
 String Theory;
 Computational Astrophysics;
 Differential Geometry;
 Physics (General);
 Field Theories;
 Relativity Theory