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    One-loop Structure of Higher Rank Wilson Loops in AdS/CFT

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    The half-supersymmetric Wilson loop in N=4\mathcal N=4 SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of SU(N)SU(N) are captured to all orders in perturbation theory by a Gaussian matrix model. Of prominent interest are the kk-symmetric and kk-antisymmetric representations, whose gravitational description is given in terms of D3- and D5-branes, respectively, with fluxes in their world volumes. At leading order in NN and λ\lambda the agreement in both cases is exact. In this note we explore the structure of the next-to-leading order correction in the matrix model and compare with existing string theory calculations. We find agreement in the functional dependence on kk but a mismatch in the numerical coefficients.Comment: 5 pages, one figure. v2: A crucial minus sign acknowledged; agreement now claimed only at the functional level. Changes in abstract and tex
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