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Holographic 3-point function at one loop

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Abstract

We explore the recent weak/strong coupling match of three-point functions in the AdS/CFT correspondence for two semi-classical operators and one light chiral primary operator found by Escobedo et al. This match is between the tree-level three-point function with the two semi-classical operators described by coherent states while on the string side the three-point function is found in the Frolov-Tseytlin limit. We compute the one-loop correction to the three-point function on the gauge theory side and compare this to the corresponding correction on the string theory side. We find that the corrections do not match.

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Authors and Affiliations

  1. The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen, Denmark

    Agnese Bissi & Marta Orselli

  2. The Niels Bohr International Academy, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen, Denmark

    Agnese Bissi

  3. NORDITA, Roslagstullsbacken 23, SE-106 91, Stockholm, Sweden

    Troels Harmark

Authors
  1. Agnese Bissi
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  2. Troels Harmark
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  3. Marta Orselli
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Correspondence to Troels Harmark.

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ArXiv ePrint: 1112.5075

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Bissi, A., Harmark, T. & Orselli, M. Holographic 3-point function at one loop. J. High Energ. Phys. 2012, 133 (2012). https://doi.org/10.1007/JHEP02(2012)133

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