Remarks on BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization
Abstract We consider 1/2 BPS supersymmetric circular Wilson loops in four-dimensional N $$ \mathcal{N} $$ = 2 SU(N) SYM theories with massless matter content and non-vanishing β-function. Following Pestun’s approach, we can use supersymmetric localization on the sphere S $$ \mathbbm{S} $$ 4 to map t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)160 |
| _version_ | 1827265077291515904 |
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| author | M. Billò L. Griguolo A. Testa |
| author_facet | M. Billò L. Griguolo A. Testa |
| author_sort | M. Billò |
| collection | DOAJ |
| description | Abstract We consider 1/2 BPS supersymmetric circular Wilson loops in four-dimensional N $$ \mathcal{N} $$ = 2 SU(N) SYM theories with massless matter content and non-vanishing β-function. Following Pestun’s approach, we can use supersymmetric localization on the sphere S $$ \mathbbm{S} $$ 4 to map these observables into a matrix model, provided that the one-loop determinants are consistently regularized. Employing a suitable procedure, we construct the regularized matrix model for these theories and show that, at order g 4, the predictions for the 1/2 BPS Wilson loop match standard perturbative renormalization based on the direct evaluation of Feynman diagrams on S $$ \mathbbm{S} $$ 4. Despite conformal symmetry begin broken at the quantum level, we also demonstrate that the matrix model approaches perfectly captures the expression of the renormalized observable in flat space at this perturbative order. Moreover, we revisit in detail the difference theory approach, showing that when the β-function is non-vanishing, this method does not account for evanescent terms which are made finite by the renormalization procedure and participate to the corrections at order g 6. |
| first_indexed | 2024-03-08T10:18:20Z |
| format | Article |
| id | doaj.art-ff6838863cb64f39928fe331136ec686 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-22T03:56:13Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ff6838863cb64f39928fe331136ec6862024-04-28T11:07:09ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024114610.1007/JHEP01(2024)160Remarks on BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localizationM. Billò0L. Griguolo1A. Testa2Università di Torino, Dipartimento di Fisica and INFN, Sezione di TorinoDipartimento SMFI, Università di Parma and INFN, Gruppo Collegato di ParmaDipartimento SMFI, Università di Parma and INFN, Gruppo Collegato di ParmaAbstract We consider 1/2 BPS supersymmetric circular Wilson loops in four-dimensional N $$ \mathcal{N} $$ = 2 SU(N) SYM theories with massless matter content and non-vanishing β-function. Following Pestun’s approach, we can use supersymmetric localization on the sphere S $$ \mathbbm{S} $$ 4 to map these observables into a matrix model, provided that the one-loop determinants are consistently regularized. Employing a suitable procedure, we construct the regularized matrix model for these theories and show that, at order g 4, the predictions for the 1/2 BPS Wilson loop match standard perturbative renormalization based on the direct evaluation of Feynman diagrams on S $$ \mathbbm{S} $$ 4. Despite conformal symmetry begin broken at the quantum level, we also demonstrate that the matrix model approaches perfectly captures the expression of the renormalized observable in flat space at this perturbative order. Moreover, we revisit in detail the difference theory approach, showing that when the β-function is non-vanishing, this method does not account for evanescent terms which are made finite by the renormalization procedure and participate to the corrections at order g 6.https://doi.org/10.1007/JHEP01(2024)160Extended SupersymmetryMatrix ModelsSupersymmetric Gauge TheoryWilson, ’t Hooft and Polyakov loops |
| spellingShingle | M. Billò L. Griguolo A. Testa Remarks on BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization Journal of High Energy Physics Extended Supersymmetry Matrix Models Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops |
| title | Remarks on BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization |
| title_full | Remarks on BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization |
| title_fullStr | Remarks on BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization |
| title_full_unstemmed | Remarks on BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization |
| title_short | Remarks on BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization |
| title_sort | remarks on bps wilson loops in non conformal n mathcal n 2 gauge theories and localization |
| topic | Extended Supersymmetry Matrix Models Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP01(2024)160 |
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