A Family of N=2 Gauge Theories with Exact S-Duality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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28 pages, Latex, a single figure, minor corrections in text and references

Scientific paper

10.1016/S0550-3213(98)00078-9

We study an infinite family of N=2 $Sp(2n)$ gauge theories that naturally arise from the D3-brane probe dynamics in F-theory. The matter sector consists of four fundamental and one antisymmetric tensor hyper multiplets. We propose that, in the limit of vanishing bare masses, the theory has exact $SO(8)\sdtimes SL(2,Z)$ duality. We examine the semiclassical BPS spectrum in the Coulomb phase by quantizing various monopole moduli space dynamics, and show that it is indeed consistent with the exact S-duality.

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