Continuous Quivers
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916295848493056 |
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| author | Sobko, Evgeny |
| author_facet | Sobko, Evgeny |
| contents | We consider half-BPS Wilson loops in $\mathcal{N} = 2$ long circular quiver gauge theories at large-$N$ with continuous limit shape of 't Hooft couplings. In the limit of an infinite number of nodes $L$, the solution to the localisation matrix model is given by Wigner semicircles for any profile of couplings. Higher-order corrections in $1/L$ can be calculated iteratively. Combining large $L$ with a strong coupling regime we identify a double scaling limit that describes dynamics along a fifth dimension which emerges dynamically from the quiver diagram. We solve the resulting integro-differential equation exactly for a certain range of parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14203 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuous Quivers Sobko, Evgeny High Energy Physics - Theory We consider half-BPS Wilson loops in $\mathcal{N} = 2$ long circular quiver gauge theories at large-$N$ with continuous limit shape of 't Hooft couplings. In the limit of an infinite number of nodes $L$, the solution to the localisation matrix model is given by Wigner semicircles for any profile of couplings. Higher-order corrections in $1/L$ can be calculated iteratively. Combining large $L$ with a strong coupling regime we identify a double scaling limit that describes dynamics along a fifth dimension which emerges dynamically from the quiver diagram. We solve the resulting integro-differential equation exactly for a certain range of parameters. |
| title | Continuous Quivers |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.14203 |