Description
The embedding of Topological String Theory as a topological subsector in Type IIA String Theory enables, upon lifting to M-theory, the computation of its free energy by integrating out M2-branes wrapping two-cycles within a Calabi-Yau manifold. Revisiting the Gopakumar-Vafa calculation, we identify a subtlety related to poles that come from considering an imaginary field strength background. This allows us to derive non-perturbative corrections to the free energy, revealing deeper aspects of the theory's structure.