We study the quantum properties of certain BPS Wilson loops in Script N = 4 supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on S3 with a fraction of supersymmetry. When restricted to S2, their quantum average has been further conjectured to be exactly computed by the matrix model governing the zero-instanton sector of YM2 on the sphere. We perform a complete two-loop analysis on a class of cusped Wilson loops lying on a two-dimensional sphere, finding perfect agreement with the conjecture. The perturbative computation reproduces the matrix-model expectation through a highly non-trivial interplay between ladder diagrams and self-energies/vertex contributions, suggesting the existence of a localization procedure.

Supersymmetric Wilson loops at two loops / A. Bassetto; L. Griguolo; F. Pucci; D. Seminara. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - STAMPA. - 06:(2008), pp. 083-1-083-35. [10.1088/1126-6708/2008/06/083]

Supersymmetric Wilson loops at two loops

PUCCI, FABRIZIO;SEMINARA, DOMENICO
2008

Abstract

We study the quantum properties of certain BPS Wilson loops in Script N = 4 supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on S3 with a fraction of supersymmetry. When restricted to S2, their quantum average has been further conjectured to be exactly computed by the matrix model governing the zero-instanton sector of YM2 on the sphere. We perform a complete two-loop analysis on a class of cusped Wilson loops lying on a two-dimensional sphere, finding perfect agreement with the conjecture. The perturbative computation reproduces the matrix-model expectation through a highly non-trivial interplay between ladder diagrams and self-energies/vertex contributions, suggesting the existence of a localization procedure.
2008
06
083-1
083-35
A. Bassetto; L. Griguolo; F. Pucci; D. Seminara
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/343248
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