Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-12
Phys.Rev.D76:106010,2007
Physics
High Energy Physics
High Energy Physics - Theory
1+17 pages, LaTeX; v2, typos corrected; v3, typos corrected, final version
Scientific paper
10.1103/PhysRevD.76.106010
Explicit Calabi-Yau metrics are derived that are argued to map to the Maldacena-Nu\~{n}ez AdS solutions of M-theory and IIB under geometric transitions. In each case the metrics are singular where a H^2 K\"{a}hler 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 K\"{a}hler 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 $AdS$ and Calabi-Yau metrics is conjectured and their boundary conditions briefly discussed.
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