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Title:
On the Resurgent Asymptotics of Topological String Theories
Speaker:
Abstract:
Resurgent transseries can shed light on nonperturbatve phenomena in many areas of physics. Topological string theories are a priori defined only perturbatively, so this is an area where the application of resurgence and transseries could potentially be very useful. The question is: which equation should such a transseries solve? A natural guess is to use the holomorphic anomaly equation found in the 90s by Bershadsky, Cecotti, Ooguri and Vafa. A complication arises because the holomorphic anomaly equation is an equation in the moduli of the problem, whereas the perturbative expansion is one in a different variable, the string coupling constant. Nevertheless, it turns out resurgence can be very useful. In this talk, I will explain the pros and cons of this approach, and I will summarize some of the results one can obtain.
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