Exact Multiplets of Spontaneously Broken Discrete Global Symmetries: the Example of $N=2$ Susy QCD

TL;DR

This paper explores how spontaneously broken discrete global symmetries in N=2 supersymmetric Yang-Mills theories organize BPS states into multiplets, aiding the understanding of strong-coupling spectra.

Contribution

It demonstrates the role of broken discrete symmetries as spectrum-generating tools in N=2 SUSY QCD, especially at strong coupling.

Findings

Broken discrete symmetries form multiplets of BPS states.

These symmetries help determine the strong-coupling spectrum.

Multiplet structure is crucial for understanding non-perturbative dynamics.

Abstract

In these notes, we emphasize the r\^ole of spontaneous broken global discrete symmetries acting on the moduli space of $N=2$ susy Yang-Mills theories and show how they can be used, together with the BPS condition, as a spectrum generating symmetry. In particular, in the strong-coupling region, all BPS states come in multiplets of this broken symmetry. This played a key r\^ole in the determination of the strong-coupling spectra.