Speaker: Kevin Costello (Perimeter Institute)

Title: Non-perturbative aspects of self-dual gauge theory

Abstract: Self-dual gauge theory is conformal in perturbation theory, but has a non-trivial beta-function when instanton effects are included. I will give two computations of this beta-function, one based on the Grothendieck-Riemann-Roch formula and one using holography in the topological string.   This leads to two new ways to compute the standard QCD beta-function at one loop, without using Feynman diagrams.  If time permits, I will also discuss how instantons effect scattering amplitudes.