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In this formulation, S is essentially an arbitrary variable. The conventional topological string free energies are recovered in the so-called holomorphic limit, where S becomes a (known) function of …
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Classroom Contents
The Resurgent Structure of Topological Strings
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- 1 Intro
- 2 The search for a non-perturbative understanding of (topological) string theory has been going on for many years.
- 3 The resurgent structure associated to a formal power series is the set of all its alien derivatives at all its singularities (i.e. trans-series plus Stokes constants)
- 4 manifold M one can calculate periods by integrating the holomorphic 3-form over a symplectic basis of 3-cycles
- 5 String perturbation theory tells us that the total free energy is a formal power series involving a small parameter, a.k.a. the string coupling constant, and we have to sum over all genera
- 6 In this formulation, S is essentially an arbitrary variable. The conventional topological string free energies are recovered in the so-called holomorphic limit, where S becomes a (known) function of …
- 7 Experimental evidence: asymptotics in the quintic CY
