Duality Symmetries for N=2 Supersymmetric QCD with Vanishing beta-Functions

Abstract

We construct the duality groups for N=2 Supersymmetric QCD with gauge group SU(2n+1) and N_f=4n+2 hypermultiplets in the fundamental representation. The groups are generated by two elements $S$ and $T$ that satisfy a relation $(ST{S}^{-1}T{)}^{2n+1}=1$. Thus, the groups are not subgroups of $SL(2,Z)$. We also construct automorphic functions that map the fundamental region of the group generated by $T$ and $STS$ to the Riemann sphere. These automorphic functions faithfully represent the duality symmetry in the Seiberg-Witten curve.

20 pages, 3 figures, harvmac (b); v2, typos corrected, statement about curves of marginal stability is corrected

References in corpus (3)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Dualities in Supersymmetric Field Theories
• S-Duality and Global Symmetries in N=2 Supersymmetric Field Theory

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• Modular anomaly equations and S-duality in N=2 conformal SQCD