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

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

1998-06-30

arxiv.org/abs/hep-th/9806246v2

Nucl.Phys. B537 (1999) 243-259

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(98)00635-X

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 $(STS^{-1}T)^{2n+1}=1$. 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.

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