Discontinuous BPS spectra in $N = 2$ gauge theory

Details Discontinuous BPS spectra in $N = 2$ gauge theory Discontinuous BPS spectra in $N = 2$ gauge theory

1995-10-18

arxiv.org/abs/hep-th/9510138v1

Nucl.Phys. B461 (1996) 101-108

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, uses harvmac

Scientific paper

10.1016/0550-3213(96)00009-0

We consider the spectrum of BPS saturated states in $N = 2$ gauge theories in four dimensions. This spectrum may be discontinuous across real codimension one submanifolds of marginal stability in the moduli space of vacua. An example, which can be treated with semiclassical methods in the weak coupling limit, is the decay of quark-soliton bound states. For a quark and a soliton of electric-magnetic charge vectors $Q$ and $Q^\prime$ respectively, we find that as the manifold of marginal stability is crossed, the number of soliton states changes by a factor of $2^{Q \cdot Q^\prime}$, where the dot denotes the symplectic product.

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