Generalized indices for N=1 theories in four-dimensions

I’ll describe how to define and compute Euclidean partition functions of 4d N=1 theories on spaces that look like a circle times a simple three manifold. These partition functions can be interpreted as supersymmetric indices: supertraces over the Hilbert space resulting from quantizing the theory on the three manifold, analogous to the Witten index. I’ll show how to calculate these indices using localization and describe some applications of the results.
Leinweber Center for Theoretical Physics,
Jun 30, 2015, 5:14 AM