Discontinuous BPS spectra in $N=2$ gauge theory

Abstract

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.

10 pages, uses harvmac

References in corpus (2)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD

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• String Webs from Field Theory
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• Supersymmetric N=2 gauge theory with arbitrary gauge group
• Dyon dynamics near marginal stability and non-BPS states
• Notes on Wall Crossing and Instanton in Compactified Gauge Theory with Matter
• BPS-spectra in four dimensions from M-theory
• Comments on BPS Bound State Decay