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Quaternionic geometry, supersymmetric black holes and topological string theory

QMAP Seminar

Speaker: Andrew Neitzke, Princeton
Location: 0 MSB
Start time: Fri, Apr 13 2007, 3:10PM

Supersymmetric black holes and topological string theory have so far been studied using the tools of special Kahler geometry. I will describe some indications that quaternionic Kahler geometry also has an important role to play in both these subjects: for black holes it provides a compact description of the classical solutions as well as a naive quantization, and for topological strings it seems to be related to the holomorphic anomaly equation and to the conjectures of Ooguri-Strominger-Vafa.