A family of N = 2 gauge theories with exact S-duality

Abstract

We study an infinite family of N = 2 Sp(2 n) 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 hypermultiplets. We propose that, in the limit of vanishing bare masses, the theory has exact SO(8) ⋉ 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.