The BPS Spectra of Gauge Theories in Two and Four Dimensions

Original · EN

We study N=(2,2) supersymmetric abelian gauge theories in two dimensions. The exact BPS spectrum of these models is shown to coincide with the spectrum of massive hypermultiplets of certain N=2 supersymmetric gauge theories in four dimensions. A special case of these results involves a surprising connection between four-dimensional N=2 SQCD with N colours and Nf>N flavours at the root of the baryonic Higgs branch and the supersymmetric CP2N-Nf-1 sigma-model in two dimensions. This correspondence implies a new prediction for the strong-coupling spectrum of the four-dimensional theory.