Enhanced moduli of D-branes and superpotentials

Abstract: Moduli of D-branes on to Calabi-Yau manifolds are naturally equipped with enhanced geometric structures which play important role in classical field theory and are an essential input for the quantization problem. I will explain how one can recognize when such enhanced structures arise from a local or global superpotential. I will discuss applications to higher dimensional Chern-Simons functionals, to non-abelian Hodge theory, to the moduli spaces of framed sheaves on log Calabi-Yau geometries, and to the moduli of monopoles. This is based on joint works with Calaque, Katzarkov, Toen, Vaquie, and Vezzosi.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar