On N=2 Supersymmetric QCD with 4 Flavors

Details On N=2 Supersymmetric QCD with 4 Flavors On N=2 Supersymmetric QCD with 4 Flavors

1996-11-04

arxiv.org/abs/hep-th/9611016v2

Nucl.Phys. B492 (1997) 607-622

Physics

High Energy Physics

High Energy Physics - Theory

20 pp, uses harvmac.tex, reference added

Scientific paper

10.1016/S0550-3213(97)00132-6

Seiberg and Witten's proposed solution of N=2 SQCD with N_c=2 and N_F=4 is known to conflict with instanton calculations in three distinct ways. Here we show how to resolve all three discrepancies, simply by reparametrizing the elliptic curve in terms of quantities $\tau^0_{eff}$ and $\tilde{u}$ rather than $\tau$ and $u = < Tr A^2 > $. SL(2,Z) invariance of the curve is preserved. However, there is now an infinite ambiguity in the relation between $\tau^0_{eff}$ and $\tau$ and between $\tilde{u}$ and $u$, corresponding to an infinite number of unknown coefficients in the instanton expansion. Thus the reinterpreted curve (unlike the cases N_F<4) no longer determines the quantum modulus u as a function of the classical VEV a.

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