Circular Wilson loop in N $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization
Abstract We present a two-loop calculation of the supersymmetric circular Wilson loop in the N $$ \mathcal{N} $$ = 2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for computing contributing Feynman graphs that relies on using the embedding coordinates combined with t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)089 |
| _version_ | 1818730099581648896 |
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| author | A. V. Belitsky G. P. Korchemsky |
| author_facet | A. V. Belitsky G. P. Korchemsky |
| author_sort | A. V. Belitsky |
| collection | DOAJ |
| description | Abstract We present a two-loop calculation of the supersymmetric circular Wilson loop in the N $$ \mathcal{N} $$ = 2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for computing contributing Feynman graphs that relies on using the embedding coordinates combined with the Mellin-Barnes techniques for propagator-like integrals on the sphere. Our results exactly match predictions of supersymmetric localization providing a nontrivial consistency check for the latter in non-conformal settings. |
| first_indexed | 2024-12-17T22:56:24Z |
| format | Article |
| id | doaj.art-a9247a36cc5545209b6b89e785f1519c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T22:56:24Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a9247a36cc5545209b6b89e785f1519c2022-12-21T21:29:33ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021413610.1007/JHEP04(2021)089Circular Wilson loop in N $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localizationA. V. Belitsky0G. P. Korchemsky1Department of Physics, Arizona State UniversityInstitut de Physique Théorique (Unité Mixte de Recherche 3681 du CNRS), Université Paris Saclay, CNRS, CEAAbstract We present a two-loop calculation of the supersymmetric circular Wilson loop in the N $$ \mathcal{N} $$ = 2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for computing contributing Feynman graphs that relies on using the embedding coordinates combined with the Mellin-Barnes techniques for propagator-like integrals on the sphere. Our results exactly match predictions of supersymmetric localization providing a nontrivial consistency check for the latter in non-conformal settings.https://doi.org/10.1007/JHEP04(2021)089Wilson, ’t Hooft and Polyakov loopsSupersymmetric Gauge TheoryExtended Supersymmetry |
| spellingShingle | A. V. Belitsky G. P. Korchemsky Circular Wilson loop in N $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization Journal of High Energy Physics Wilson, ’t Hooft and Polyakov loops Supersymmetric Gauge Theory Extended Supersymmetry |
| title | Circular Wilson loop in N $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization |
| title_full | Circular Wilson loop in N $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization |
| title_fullStr | Circular Wilson loop in N $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization |
| title_full_unstemmed | Circular Wilson loop in N $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization |
| title_short | Circular Wilson loop in N $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization |
| title_sort | circular wilson loop in n mathcal n 2 super yang mills theory at two loops and localization |
| topic | Wilson, ’t Hooft and Polyakov loops Supersymmetric Gauge Theory Extended Supersymmetry |
| url | https://doi.org/10.1007/JHEP04(2021)089 |
| work_keys_str_mv | AT avbelitsky circularwilsonloopinnmathcaln2superyangmillstheoryattwoloopsandlocalization AT gpkorchemsky circularwilsonloopinnmathcaln2superyangmillstheoryattwoloopsandlocalization |