BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic Operators

Abstract

We discuss a general procedure to obtain 1/2 BPS partition functions for generic N = 1 quiver gauge theories. These functions count the gauge invari- ant operators (bosonic and fermionic), charged under all the global symmetries (mesonic and baryonic), in the chiral ring of a given quiver gauge theory. In particular we discuss the inclusion of the spinor degrees of freedom in the partition functions.