Exact semiclassical and non-perturbative BPS spectra in N = 2 susy QCD
Abstract
These notes are based on work done in collaboration with Frank Ferrari. We show how to determine the spectra of stable BPS states in N = 2 supersymmetric SU (2) Yang-Mills theories that are asymptotically free, i.e. without and with Nf = 1, 2, 3 quark hypermultiplets. In all cases: • There is a curve of marginal stability diffeomorphic to a circle and going through all (finite) singular points of moduli space.
• The BPS spectra are discontinuous across the curves. • The strong-coupling spectra (inside the curves) contain only those BPS states that can become massless and are responsible for the singularities. Except for Nf = 3, they form a multiplet (with different masses) of the broken global discrete symmetry. • All other semi-classical BPS states must and do decay consistently when crossing the curves. • The weak-coupling, i.e. semi-classical BPS spectra, contain no magnetic charges larger than one for Nf = 0, 1, 2 and no magnetic charges larger than two for Nf = 3.- Publication:
-
Nuclear Physics B Proceedings Supplements
- Pub Date:
- July 1997
- DOI:
- 10.1016/S0920-5632(97)00327-7
- Bibcode:
- 1997NuPhS..56..199B