Geodesics and BPS States in N=2 Supersymmetric QCD
Jeffrey M. Rabin
TL;DR
This paper analytically determines the geodesics on the Seiberg-Witten surface corresponding to BPS states in N=2 SUSY QCD with SU(2) gauge group, providing exact results for some cases and approximations for others.
Contribution
It introduces conformal mapping techniques to analyze geodesics and BPS states in N=2 SUSY QCD, confirming the existence of magnetic charge 2 states in the three-flavor case.
Findings
Exact geodesic solutions for zero and two flavors.
Approximate solutions in the weak-coupling limit for one and three flavors.
Confirmation of magnetic charge 2 states in three-flavor case.
Abstract
Conformal mapping techniques are used to determine analytically the geodesics on the Seiberg-Witten Riemann surface which correspond to the BPS dyon states in N=2 SUSY QCD with gauge group SU(2) and up to three flavors of massless fundamental matter. The results are exact for zero and two flavors, and approximate in the weak-coupling limit for one and three flavors. The presence of states of magnetic charge 2, in the three-flavor case only, is confirmed.
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