Into the wedge of $\mathcal{N}=2$ superconformal gauge theories
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909601879818240 |
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| author | Griguolo, Luca Guerrini, Luigi Testa, Alessandro |
| author_facet | Griguolo, Luca Guerrini, Luigi Testa, Alessandro |
| contents | We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the two-sphere separated by an arbitrary opening angle. We conjecture that these observables are encoded in a modification of Pestun's matrix model. The matrix representation of these operators resembles that of the $\frac12$-BPS circular Wilson loop, differing only for a rescaling in the exponent. We compare the matrix model predictions with an explicit three-loop calculation in flat space based on standard Feynman-diagram techniques, finding perfect agreement. Finally, exploiting the matrix model representation of these Wilson loops, we study the large-$N$ limit at strong coupling of $\mathcal{N}=2$ superconformal QCD, finding a surprising transition in the vacuum expectation value for a critical opening angle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04043 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Into the wedge of $\mathcal{N}=2$ superconformal gauge theories Griguolo, Luca Guerrini, Luigi Testa, Alessandro High Energy Physics - Theory We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the two-sphere separated by an arbitrary opening angle. We conjecture that these observables are encoded in a modification of Pestun's matrix model. The matrix representation of these operators resembles that of the $\frac12$-BPS circular Wilson loop, differing only for a rescaling in the exponent. We compare the matrix model predictions with an explicit three-loop calculation in flat space based on standard Feynman-diagram techniques, finding perfect agreement. Finally, exploiting the matrix model representation of these Wilson loops, we study the large-$N$ limit at strong coupling of $\mathcal{N}=2$ superconformal QCD, finding a surprising transition in the vacuum expectation value for a critical opening angle. |
| title | Into the wedge of $\mathcal{N}=2$ superconformal gauge theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.04043 |