We compute the one-loop effective action in N=1 superconformal SU(N) gauge theory which is an exactly marginal deformation of the N=4 SYM. We consider an Abelian background of constant N=1 gauge field and single chiral scalar. While for finite N the effective action depends nontrivially on the deformation parameter q=eiπβ, this dependence disappears in the large N limit if the parameter β is real. This conclusion matches the strong-coupling prediction coming from the form of a D3-brane probe action in the dual supergravity background: for the simplest choice of the D3-brane position the probe action happens to be the same as for a D3-brane in AdS5×S5 placed parallel to the boundary of AdS5. This suggests that in the real β deformation case there exists a large N nonrenormalization theorem for the F4 term in the action.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 2005|