$G_2$ Holonomy, Taubes' Construction of Seiberg-Witten Invariants and Superconducting Vortices

Sergio Cecotti, Chris Gerig, Cumrun Vafa

Using a reformulation of topological $\mathcal{N}=2$ QFT's in M-theory setup, where QFT is realized via M5 branes wrapping co-associative cycles in a $G_2$ manifold constructed from t…