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

Text - Accepted Version
Available under License Creative Commons Attribution.

Download (818kB) | Preview


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

Actions (login required)

View Item View Item


Downloads per month over past year

View more statistics