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The Strong-Coupling Spectrum of the Seiberg-Witten Theory

1996/02/29 by Frank D. Ferrari, Frank Ferrari, Adel Bilal · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/0550-3213(96)00150-2

published as Nucl.Phys. B469 (1996) 387-402 · 19 pages, uses PHYZZX, references changed and minor corrections, version published in Nuclear Physics B

openalex publication_date 1996/06/01 · arxiv created 1996/06/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 Z2-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.

Citations

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