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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2025)076 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |