Constantin Teleman, University of California at Berkeley
Title: Twisted sectors in 2D gauge theory
Abstract: I have previously described how the 'Coulomb branch of the space of vacua' in N=4 pure 3D gauge theory for a compact Lie group serves as the classifying space for 2D A-type gauged theories (such as Gromov-Witten theory) via holomorphic symplectic calculus, as described by Kapustin and Rozansky. I will describe the space of states of the gauge theory in these terms, and explain how it generalizes the 'twisted sector' decomposition in the case of a finite group. The simplest example is the Batyrev formula for the quantum cohomology of topic Fano manifolds.