The Strong-Coupling Spectrum of the Seiberg-Witten Theory

Details The Strong-Coupling Spectrum of the Seiberg-Witten Theory The Strong-Coupling Spectrum of the Seiberg-Witten Theory

1996-02-15

arxiv.org/abs/hep-th/9602082v3

Nucl.Phys. B469 (1996) 387-402

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, uses PHYZZX, references changed and minor corrections, version published in Nuclear Physics B

Scientific paper

10.1016/0550-3213(96)00150-2

We carefully study the global structure of the solution of the $N=2$ supersymmetric pure Yang-Mills theory with gauge group $SU(2)$ obtained by Seiberg and Witten. We exploit its ${\bf Z}_2$-symmetry and describe the curve in moduli space where BPS states can become unstable, separating the strong-coupling from the weak-coupling region. This allows us to obtain the spectrum of stable BPS states in the strong-coupling region: we prove that only the two particles responsible for the singularities of the solution (the magnetic monopole and the dyon of unit electric charge) are present in this region. Our method also permits us to very easily obtain the well-known weak-coupling spectrum, without using semi-classical methods. We discuss how the BPS states disintegrate when crossing the border from the weak to the strong-coupling region.

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