On supersmmetric string theories and matrix models
University of Bonn, Physics Institute
Fri, Jul. 10th 2009, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
Partition functions of (topological) gauge theories and topological strings on non-compact Calabi-Yau manifolds can be expressed as sums over two-dimensional partitions. I will show how to represent a wide class of such expressions in terms of a novel kind of matrix models, and present such matrix models for Seiberg-Witten theories with and without matter in various dimensions, and related topological string backgrounds. I will discuss relations to other matrix models (such as the Eguchi-Yang matrix model, matrix models for bundles over $P^1$, and Chern-Simons matrix models for lens spaces), as well as potential applications (e.g. for dyon counting in $N=4$ string theory).