Precision matching of circular Wilson loops and strings in AdS 5 × S 5
Abstract Previous attempts to match the exact N=4 $$ \mathcal{N}=4 $$ super Yang-Mills expression for the expectation value of the 12 $$ \frac{1}{2} $$-BPS circular Wilson loop with the semiclassical AdS 5 × S 5 string theory prediction were not successful at the first subleading order. There was a...
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doaj-fac011ce97c647cf95dee241947a619d2020-11-25T00:27:30ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018511710.1007/JHEP05(2018)199Precision matching of circular Wilson loops and strings in AdS 5 × S 5Daniel Medina-Rincon0Arkady A. Tseytlin1Konstantin Zarembo2Nordita, KTH Royal Institute of Technology and Stockholm UniversityBlackett Laboratory, Imperial CollegeNordita, KTH Royal Institute of Technology and Stockholm UniversityAbstract Previous attempts to match the exact N=4 $$ \mathcal{N}=4 $$ super Yang-Mills expression for the expectation value of the 12 $$ \frac{1}{2} $$-BPS circular Wilson loop with the semiclassical AdS 5 × S 5 string theory prediction were not successful at the first subleading order. There was a missing prefactor ∼ λ −3/4 which could be attributed to the unknown normalization of the string path integral measure. Here we resolve this problem by computing the ratio of the string partition functions corresponding to the circular Wilson loop and the special 14 $$ \frac{1}{4} $$ supersymmetric latitude Wilson loop. The fact that the latter has a trivial expectation value in the gauge theory allows us to relate the prefactor to the contribution of the three zero modes of the “transverse” fluctuation operator in the 5-sphere directions.http://link.springer.com/article/10.1007/JHEP05(2018)199AdS-CFT CorrespondenceWilson, ’t Hooft and Polyakov loops |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Daniel Medina-Rincon Arkady A. Tseytlin Konstantin Zarembo |
spellingShingle |
Daniel Medina-Rincon Arkady A. Tseytlin Konstantin Zarembo Precision matching of circular Wilson loops and strings in AdS 5 × S 5 Journal of High Energy Physics AdS-CFT Correspondence Wilson, ’t Hooft and Polyakov loops |
author_facet |
Daniel Medina-Rincon Arkady A. Tseytlin Konstantin Zarembo |
author_sort |
Daniel Medina-Rincon |
title |
Precision matching of circular Wilson loops and strings in AdS 5 × S 5 |
title_short |
Precision matching of circular Wilson loops and strings in AdS 5 × S 5 |
title_full |
Precision matching of circular Wilson loops and strings in AdS 5 × S 5 |
title_fullStr |
Precision matching of circular Wilson loops and strings in AdS 5 × S 5 |
title_full_unstemmed |
Precision matching of circular Wilson loops and strings in AdS 5 × S 5 |
title_sort |
precision matching of circular wilson loops and strings in ads 5 × s 5 |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-05-01 |
description |
Abstract Previous attempts to match the exact N=4 $$ \mathcal{N}=4 $$ super Yang-Mills expression for the expectation value of the 12 $$ \frac{1}{2} $$-BPS circular Wilson loop with the semiclassical AdS 5 × S 5 string theory prediction were not successful at the first subleading order. There was a missing prefactor ∼ λ −3/4 which could be attributed to the unknown normalization of the string path integral measure. Here we resolve this problem by computing the ratio of the string partition functions corresponding to the circular Wilson loop and the special 14 $$ \frac{1}{4} $$ supersymmetric latitude Wilson loop. The fact that the latter has a trivial expectation value in the gauge theory allows us to relate the prefactor to the contribution of the three zero modes of the “transverse” fluctuation operator in the 5-sphere directions. |
topic |
AdS-CFT Correspondence Wilson, ’t Hooft and Polyakov loops |
url |
http://link.springer.com/article/10.1007/JHEP05(2018)199 |
work_keys_str_mv |
AT danielmedinarincon precisionmatchingofcircularwilsonloopsandstringsinads5s5 AT arkadyatseytlin precisionmatchingofcircularwilsonloopsandstringsinads5s5 AT konstantinzarembo precisionmatchingofcircularwilsonloopsandstringsinads5s5 |
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1725339477916778496 |