One-loop holography with strings in AdS4 × ℂℙ3

  • Marina David
  • Rodrigo de León Ardón
  • Alberto FaraggiEmail author
  • Leopoldo A. Pando Zayas
  • Guillermo A. Silva
Open Access
Regular Article - Theoretical Physics


We compute the one-loop effective action of string configurations embedded in AdS4 × ℂℙ3 which are dual to \( \frac{1}{6} \)-BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we subtract the \( \frac{1}{2} \)-BPS case. The one-loop determinants are computed by Fourier-decomposing the two dimensional operators and then using the Gel’fand-Yaglom method. We comment on various aspects related to the regularization procedure, showing the cancellation of a hierarchy of divergences. After taking into account an IR anomaly from a change in topology, we find a precise agreement with the field theory result known from supersymmetric localization.


AdS-CFT Correspondence Wilson ’t Hooft and Polyakov loops Supersymmetric Gauge Theory 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Leinweber Center for Theoretical Physics, Randall Laboratory of PhysicsThe University of MichiganAnn ArborU.S.A.
  2. 2.The Abdus Salam International Centre for Theoretical PhysicsTriesteItaly
  3. 3.Departamento de Ciencias Físicas, Facultad de Ciencias ExactasUniversidad Andrés BelloSantiagoChile
  4. 4.Instituto de Física de La Plata — CONICET & Departamento de Física, UNLPLa PlataArgentina

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