1/2 BPS Wilson loops in non-conformal N = 2 gauge theories and localization: a three-loop analysis
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914979034169344 |
|---|---|
| author | Billo', Marco Griguolo, Luca Testa, Alessandro |
| author_facet | Billo', Marco Griguolo, Luca Testa, Alessandro |
| contents | We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $β$-function. Using super-symmetric localization on $S_4$ , 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14847 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 1/2 BPS Wilson loops in non-conformal N = 2 gauge theories and localization: a three-loop analysis Billo', Marco Griguolo, Luca Testa, Alessandro High Energy Physics - Theory We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $β$-function. Using super-symmetric localization on $S_4$ , 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. |
| title | 1/2 BPS Wilson loops in non-conformal N = 2 gauge theories and localization: a three-loop analysis |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.14847 |