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.

Precision calculation of 1/4-BPS Wilson loops in AdS5×S5 / Forini, V; Puletti, V. Giangreco M.; Griguolo, L.; Seminara, D.; Vescovi, E.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 2016:2(2016), pp. 1-41. [10.1007/JHEP02(2016)105]

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

GRIGUOLO, Luca;
2016

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2815697
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