1/2 BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysis
Abstract We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N) N $$ \mathcal{N} $$ = 2 SYM theories with massless hypermultiplets and non-vanishing β-function. Using supersymmetric localization on 𝕊4, we map the path-integral associated with this observable onto an interacting matrix m...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)076 |
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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 study the 1/2 BPS circular Wilson loop in four-dimensional SU(N) N $$ \mathcal{N} $$ = 2 SYM theories with massless hypermultiplets and non-vanishing β-function. Using supersymmetric localization on 𝕊4, we map the path-integral associated with this observable onto an interacting matrix model. Despite the breaking of conformal symmetry at the quantum level, we show that, within a specific regime, the matrix model predictions remain consistent with the perturbative results in flat space up to order g 6. At this order, our analysis reveals that the reorganization of Feynman diagrams based on the matrix model interaction potential, widely tested in (super)conformal models, also applies to these non-conformal set-ups and is realized by interference mechanisms. |
| format | Article |
| id | doaj-art-552a5b6734d54e7697b640f8bfaffa0c |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-552a5b6734d54e7697b640f8bfaffa0c2025-08-20T02:16:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025215410.1007/JHEP02(2025)0761/2 BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysisM. Billò0L. Griguolo1A. Testa2Dipartimento di Fisica, Università di Torino, 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 study the 1/2 BPS circular Wilson loop in four-dimensional SU(N) N $$ \mathcal{N} $$ = 2 SYM theories with massless hypermultiplets and non-vanishing β-function. Using supersymmetric localization on 𝕊4, we map the path-integral associated with this observable onto an interacting matrix model. Despite the breaking of conformal symmetry at the quantum level, we show that, within a specific regime, the matrix model predictions remain consistent with the perturbative results in flat space up to order g 6. At this order, our analysis reveals that the reorganization of Feynman diagrams based on the matrix model interaction potential, widely tested in (super)conformal models, also applies to these non-conformal set-ups and is realized by interference mechanisms.https://doi.org/10.1007/JHEP02(2025)076Extended SupersymmetryWilson, ’t Hooft and Polyakov loopsSupersymmetric Gauge TheoryRenormalization and Regularization |
| spellingShingle | M. Billò L. Griguolo A. Testa 1/2 BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysis Journal of High Energy Physics Extended Supersymmetry Wilson, ’t Hooft and Polyakov loops Supersymmetric Gauge Theory Renormalization and Regularization |
| title | 1/2 BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysis |
| title_full | 1/2 BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysis |
| title_fullStr | 1/2 BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysis |
| title_full_unstemmed | 1/2 BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysis |
| title_short | 1/2 BPS Wilson loops in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories and localization: a three-loop analysis |
| title_sort | 1 2 bps wilson loops in non conformal n mathcal n 2 gauge theories and localization a three loop analysis |
| topic | Extended Supersymmetry Wilson, ’t Hooft and Polyakov loops Supersymmetric Gauge Theory Renormalization and Regularization |
| url | https://doi.org/10.1007/JHEP02(2025)076 |
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