2014•arXiv (Cornell University)Open access

B-Model Approaches to Instanton Counting

Daniel Krefl, Johannes Walcher

Abstract

This is the 13th article in the collection of reviews "Exact results in N=2 supersymmetric gauge theories", ed. J. Teschner. It discusses the relation between the instanton partition functions and the partition function of the topological string from the perspective of the B-model. The instanton partition functions provide solutions to the holomorphic anomaly equations characterising the partition functions of the topological string.

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Key concepts: Instanton, Partition function (quantum field theory), Holomorphic function, String (physics), Partition (number theory), Topological string theory, Mathematical physics, Mathematics