Precision calculation of 1/4-BPS Wilson loops in AdS5×S5

V. Forini*, V. Giangreco M. Puletti, L. Griguolo, D. Seminara, E. Vescovi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


Abstract: We study the strong coupling behaviour of 1/4-BPS circular Wilson loops (a family of “latitudes”) in (Formula presented.) Super Yang-Mills theory, computing the one-loop corrections to the relevant classical string solutions in AdS5×S5. Supersymmetric localization provides an exact result that, in the large ’t Hooft coupling limit, should be reproduced by the sigma-model approach. To avoid ambiguities due to the absolute normalization of the string partition function, we compare the ratio between the generic latitude and the maximal 1/2-BPS circle: any measure-related ambiguity should simply cancel in this way. We use the Gel’fand-Yaglom method with Dirichlet boundary conditions to calculate the relevant functional determinants, that present some complications with respect to the standard circular case. After a careful numerical evaluation of our final expression we still find disagreement with the localization answer: the difference is encoded into a precise “remainder function”. We comment on the possible origin and resolution of this discordance.

Original languageEnglish
Article number105
Pages (from-to)1-41
Number of pages41
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - 1 Feb 2016

Bibliographical note

Publisher Copyright:
© 2016, The Author(s).

Other keywords

  • AdS-CFT Correspondence
  • Sigma Models
  • Wilson
  • ’t Hooft and Polyakov loops


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