Integrated line-defect correlators in $Sp(N)$ SCFTs at strong coupling
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912263481327616 |
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| author | De Lillo, Lorenzo Frau, Marialuisa Pini, Alessandro |
| author_facet | De Lillo, Lorenzo Frau, Marialuisa Pini, Alessandro |
| contents | We consider two four-dimensional SCFTs with gauge group $Sp(N)$: the $\mathcal{N}=4$ SYM theory and the $\mathcal{N}=2$ theory with four hypermultiplets in the fundamental representation and one hypermultiplet in the rank-2 antisymmetric representation of the gauge group. Using supersymmetric localization and by exploiting a Toda equation, we compute the integrated correlator between a half-BPS Wilson line and two moment map operators of conformal dimension 2. We obtain exact expressions for this observable, valid for any value of the 't Hooft coupling in the large $N$-limit of the theory and we derive the corresponding strong coupling expansions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integrated line-defect correlators in $Sp(N)$ SCFTs at strong coupling De Lillo, Lorenzo Frau, Marialuisa Pini, Alessandro High Energy Physics - Theory We consider two four-dimensional SCFTs with gauge group $Sp(N)$: the $\mathcal{N}=4$ SYM theory and the $\mathcal{N}=2$ theory with four hypermultiplets in the fundamental representation and one hypermultiplet in the rank-2 antisymmetric representation of the gauge group. Using supersymmetric localization and by exploiting a Toda equation, we compute the integrated correlator between a half-BPS Wilson line and two moment map operators of conformal dimension 2. We obtain exact expressions for this observable, valid for any value of the 't Hooft coupling in the large $N$-limit of the theory and we derive the corresponding strong coupling expansions. |
| title | Integrated line-defect correlators in $Sp(N)$ SCFTs at strong coupling |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.04902 |