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We construct the low-energy effective field theory for a D3-brane in constantR-R 2-form potential background as the S-dual theory of a D3-brane in NS-NSB-field background. Despite the non-Abelian algebra of the noncommutative U(1)gauge symmetry, the electromagnetic duality transformation can be carried outto all orders, and the dual Lagrangian is given in a compact form. The gaugealgebra is found to be a mixture of a deformed area-preserving diffeomorphismand the usual U(1) gauge symmetry.

S-Duality for D3-Brane in NS-NS and R-R Backgrounds