 
Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
BERKELEY · DAVIS · IRVINE · LOS ANGELES · MERCED · RIVERSIDE · SAN DIEGO · SAN FRANCISCO
CSANTA BARBARA · SANTA CRUZ
Geometry, Topology, and Physics Seminar
Supersymmetric Gauge Theory and Mock Theta Functions
Andreas Malmendier
UCSB
Friday, November 7th, 2008, 4:00 p.m.
Room 6635 South Hall
Abstract: The moduli spaces of vacua for the topological N = 2 supersymmetric
gauge theories with gauge group SU(2) or SO(3) on CP2
with massless hypermultiplets
are Jacobian rational elliptic surfaces over CP1
. The uplane integrals for these moduli
spaces compute interesting topological invariants. To evaluate the integrals one needs
to integrate by parts using nonholomorphic modular forms or Mock theta functions.
We explain what these Mock theta functions are for the N = 2 gauge theory with
gauge group SU(2) or SO(3) and how their modular properties relate to the BPS
spectrum. Time permitting, I will also sketch how  in the case of the SO(3)gauge
theory on CP2
