2014/04/30 by E. I. Buchbinder, A. A. Tseytlin · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.89.126008
published as Phys. Rev. D 89, 126008 (2014) · 20 pages; v2: reference added, misprints corrected; v3: minor corrections, reference added
arxiv created 2014/06/30 · arxiv updated 2014/07/02
We compute the one-loop correction to the probe D3-brane action in AdS5 x S5 expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is given essentially by the logarithm of the one-loop partition function of an Abelian \cal N=4 vector multiplet in AdS2 x S2 geometry. This one-loop correction is expected to describe the subleading 1/N term in the expectation value of circular Wilson loop in the totally symmetric rank k representation in SU(N) SYM theory at strong coupling. In the limit k << N 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.