Inverting geometric transitions: explicit Calabi-Yau metrics for the Maldacena-Nunez solutions
arXiv:0706.1795 · doi:10.1103/PhysRevD.76.106010
Abstract
Explicit Calabi-Yau metrics are derived that are argued to map to the Maldacena-Nuñez AdS solutions of M-theory and IIB under geometric transitions. In each case the metrics are singular where a H^2 Kähler two-cycle degenerates but are otherwise smooth. They are derived as the most general Calabi-Yau solutions of an ansatz for the supergravity description of branes wrapped on Kähler two-cycles. The ansatz is inspired by re-writing the AdS solutions, and the structure defined by half their Killing spinors, in this form. The world-volume theories of fractional branes wrapped at the singularities of these metrics are proposed as the duals of the AdS solutions. The existence of supergravity solutions interpolating between the and Calabi-Yau metrics is conjectured and their boundary conditions briefly discussed.
1+17 pages, LaTeX; v2, typos corrected; v3, typos corrected, final version