### 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 language | English |
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Article number | 126008 |

Number of pages | 11 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 89 |

Issue number | 12 |

DOIs | |

Publication status | Published - 25 Jun 2014 |