Inverting geometric transitions: Explicit Calabi-Yau metrics for the Maldacena-Nunez solutions

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.106010· OSTI ID:21027920

Explicit Calabi-Yau metrics are derived that are argued to map to the Maldacena-Nunez AdS solutions of M-theory and IIB under geometric transitions. In each case the metrics are singular where a H{sup 2} Kaehler 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 Kaehler two-cycles. The ansatz is inspired by rewriting 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.

• OSTI ID: 21027920
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
BRANES
M-THEORY
MATHEMATICAL SOLUTIONS
METRICS
QUANTUM FIELD THEORY
SINGULARITY
SPINORS
STRING MODELS
SUPERGRAVITY