1/N correction in the D3-brane description of a circular Wilson loop at strong coupling

We compute the one-loop correction to the probe D3-brane action in AdS5×S5 expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is essentially the logarithm of the one-loop partition function of an Abelian N=4 vector multiplet in AdS2×S2 geometry. This one-loop correction should be describing the subleading 1/N term in the expectation value of circular Wilson loop in the totally symmetric rank k representation in SU(N) supersymmetric Yang-Mills theory at strong coupling. In the limit 1N when the circular Wilson loop expectation values for the symmetric representation and for the product of k fundamental representations are expected to match, we find that this one-loop D3-brane correction agrees with the gauge theory result for the k-fundamental case. © 2014 American Physical Society.