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Journal of High Energy Physics

, 2016:105 | Cite as

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

  • V. Forini
  • V. Giangreco M. Puletti
  • L. Griguolo
  • D. Seminara
  • E. Vescovi
Open Access
Regular Article - Theoretical Physics

Abstract

We study the strong coupling behaviour of 1/4-BPS circular Wilson loops (a family of “latitudes”) in \( \mathcal{N}=4 \) 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.

Keywords

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

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • V. Forini
    • 1
  • V. Giangreco M. Puletti
    • 2
  • L. Griguolo
    • 3
  • D. Seminara
    • 4
  • E. Vescovi
    • 1
  1. 1.Institut für Physik, Humboldt-Universität zu Berlin, IRIS AdlershofBerlinGermany
  2. 2.Science InstituteUniversity of IcelandReykjavikIceland
  3. 3.Dipartimento di Fisica e Scienze della Terra, Università di Parma and INFN Gruppo Collegato di ParmaParmaItaly
  4. 4.Dipartimento di Fisica, Università di Firenze and INFN Sezione di FirenzeSesto FiorentinoItaly

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