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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.08083 |
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| _version_ | 1866913311140872192 |
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| author | Bomans, Pieter Couzens, Christopher |
| author_facet | Bomans, Pieter Couzens, Christopher |
| contents | We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual $\mathcal{N} = 1$ superconformal field theory. We carefully study the singular loci of the uplifted geometry and show that these correspond to $\mathbf{C}^3/\mathbf{Z}_n$ conical singularities. Therefore, these solutions present one of the first explicit realisations of honest locally $\mathcal{N} = 1$ preserving punctures in class $\mathcal{S}$. Additionally, we study the symmetries and anomalies of the dual field theory through anomaly inflow and compute a variety of holographic observables including dimensions of BPS operators. This work paves the way for advancements in the study and identification of the precise dual field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08083 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Class $\mathcal{S}$ Origin of Spindle Solutions Bomans, Pieter Couzens, Christopher High Energy Physics - Theory We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual $\mathcal{N} = 1$ superconformal field theory. We carefully study the singular loci of the uplifted geometry and show that these correspond to $\mathbf{C}^3/\mathbf{Z}_n$ conical singularities. Therefore, these solutions present one of the first explicit realisations of honest locally $\mathcal{N} = 1$ preserving punctures in class $\mathcal{S}$. Additionally, we study the symmetries and anomalies of the dual field theory through anomaly inflow and compute a variety of holographic observables including dimensions of BPS operators. This work paves the way for advancements in the study and identification of the precise dual field theories. |
| title | On the Class $\mathcal{S}$ Origin of Spindle Solutions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.08083 |