Resurgence and Topological Strings
Abstract
The mathematical idea of resurgence allows one to obtain nonperturbative information from the large-order behavior of perturbative expansions. This idea can be very fruitful in physics applications, in particular if one does not have access to such nonperturbative information from first principles. An important example is topological string theory, which is a priori only defined as an asymptotic perturbative expansion in the coupling constant g_s. We show how the idea of resurgence can be combined with the holomorphic anomaly equation to extend the perturbative definition of the topological string and obtain, in a model-independent way, a large amount of information about its nonperturbative structure.
Cite
@article{arxiv.1502.05711,
title = {Resurgence and Topological Strings},
author = {Marcel Vonk},
journal= {arXiv preprint arXiv:1502.05711},
year = {2015}
}
Comments
11 pages, 7 figures. Pedestrian introduction to 1308.1695 and 1407.4821, based on my talk at String Math 2014. Submitted for the proceedings of that conference