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

Evgeny Bukhbinder, A.A. Tseytlin

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    Abstract

    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.
    Original languageEnglish
    Article number126008
    Number of pages11
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume89
    Issue number12
    DOIs
    Publication statusPublished - 25 Jun 2014

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