We continue our study of the correlators of a recently discovered family of BPS Wilson loops in = 4 supersymmetric U(N) Yang-Mills theory. We perform explicit computations at weak coupling by means of analytical and numerical methods finding agreement with the exact formula derived from localization. In particular we check the localization prediction at order g 6 for different BPS “latitude” configurations, the = 4 perturbative expansion reproducing the expected results within a relative error of 10−4. On the strong coupling side we present a supergravity evaluation of the 1/8 BPS correlator in the limit of large separation, taking into account the exchange of all relevant modes between the string worldsheets. While reproducing the correct geometrical dependence, we find that the associated coefficient does not match the localization result.
Correlators of supersymmetric Wilson loops at weak and strong coupling / A. Bassetto; L. Griguolo; F. Pucci; D. Seminara; S. Thambyahpillai; D. Young. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - STAMPA. - Volume 2010, Number 3 / March, 2010:(2010), pp. 1-33. [10.1007/JHEP03(2010)038]
Correlators of supersymmetric Wilson loops at weak and strong coupling
PUCCI, FABRIZIO;SEMINARA, DOMENICO;
2010
Abstract
We continue our study of the correlators of a recently discovered family of BPS Wilson loops in = 4 supersymmetric U(N) Yang-Mills theory. We perform explicit computations at weak coupling by means of analytical and numerical methods finding agreement with the exact formula derived from localization. In particular we check the localization prediction at order g 6 for different BPS “latitude” configurations, the = 4 perturbative expansion reproducing the expected results within a relative error of 10−4. On the strong coupling side we present a supergravity evaluation of the 1/8 BPS correlator in the limit of large separation, taking into account the exchange of all relevant modes between the string worldsheets. While reproducing the correct geometrical dependence, we find that the associated coefficient does not match the localization result.File | Dimensione | Formato | |
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