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arXiv · hep-th/9611016

On N=2 Supersymmetric QCD with 4 Flavors

N. Dorey·V. V. Khoze·M. P. Mattis
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Abstract

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 $τ^0_{eff}$ and $\tilde{u}$ rather than $τ$ 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 $τ^0_{eff}$ and $τ$ 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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N. Dorey, V. V. Khoze, M. P. Mattis. 1996-11-06. On N=2 Supersymmetric QCD with 4 Flavors. https://doi.org/10.1016/s0550-3213(97)00132-6

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