Precision calculation of 1/4-BPS Wilson loops in AdS(5) x S-5

Forini, V., Puletti, V. G. M., Griguolo, L., Seminara, D. & Vescovi, E. (2016). Precision calculation of 1/4-BPS Wilson loops in AdS(5) x S-5. Journal of High Energy Physics, 2016, 105.. doi: 10.1007/JHEP02(2016)105

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Abstract

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

Item Type: Article
Uncontrolled Keywords: Wilson, ’t Hooft and Polyakov loops, AdS-CFT Correspondence, Sigma Models
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/19728

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