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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Online-Zugang: | https://arxiv.org/abs/2312.11640 |
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| _version_ | 1866913198088650752 |
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| author | Boido, Andrea Lüscher, Alice Sparks, James |
| author_facet | Boido, Andrea Lüscher, Alice Sparks, James |
| contents | Supersymmetric, magnetically charged (and possibly accelerating) black holes in AdS$_4$ that uplift on Sasaki-Einstein manifolds $Y_7$ to M-theory have a dual matrix model description. The matrix model in turn arises by localization of the 3d $\mathcal{N}=2$ SCFTs, dual to the AdS$_4$ vacuum, on the black hole horizon geometry, which is a Riemann surface $Σ_g$ (or a spindle $Σ$). We identify the imaginary part $t$ of the continuously distributed eigenvalues in the matrix model, and their density function $ρ(t)$, with natural geometric quantities associated with the M-theory circle action $U(1)_M$ on the near-horizon geometry AdS$_2\times Y_9$, the internal space $Y_9$ being a $Y_7$ fibration over $Σ_g$ (or $Σ$). Moreover, we argue that the points where $ρ'(t)$ is discontinuous match with the classical action of BPS probe M2-branes wrapping AdS$_2$ and the M-theory circle. We illustrate our findings with the ABJM and ADHM theories, whose duals have $Y_7 = S^7/\mathbb{Z}_k$, and some of their flavoured variants corresponding to other toric $Y_7$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11640 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Matrix models from black hole geometries Boido, Andrea Lüscher, Alice Sparks, James High Energy Physics - Theory Supersymmetric, magnetically charged (and possibly accelerating) black holes in AdS$_4$ that uplift on Sasaki-Einstein manifolds $Y_7$ to M-theory have a dual matrix model description. The matrix model in turn arises by localization of the 3d $\mathcal{N}=2$ SCFTs, dual to the AdS$_4$ vacuum, on the black hole horizon geometry, which is a Riemann surface $Σ_g$ (or a spindle $Σ$). We identify the imaginary part $t$ of the continuously distributed eigenvalues in the matrix model, and their density function $ρ(t)$, with natural geometric quantities associated with the M-theory circle action $U(1)_M$ on the near-horizon geometry AdS$_2\times Y_9$, the internal space $Y_9$ being a $Y_7$ fibration over $Σ_g$ (or $Σ$). Moreover, we argue that the points where $ρ'(t)$ is discontinuous match with the classical action of BPS probe M2-branes wrapping AdS$_2$ and the M-theory circle. We illustrate our findings with the ABJM and ADHM theories, whose duals have $Y_7 = S^7/\mathbb{Z}_k$, and some of their flavoured variants corresponding to other toric $Y_7$. |
| title | Matrix models from black hole geometries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.11640 |