Abstract
Supersymmetric, magnetically charged (and possibly accelerating) black holes in AdS4 that uplift on Sasaki-Einstein manifolds Y7 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 AdS4 vacuum, on the black hole horizon geometry, which is a Riemann surface Σg (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 AdS2 × Y9, the internal space Y9 being a Y7 fibration over Σg (or Σ). Moreover, we argue that the points where ρ′(t) is discontinuous match with the classical action of BPS probe M2-branes wrapping AdS2 and the M-theory circle. We illustrate our findings with the ABJM and ADHM theories, whose duals have Y7 = S7/ℤk, and some of their flavoured variants corresponding to other toric Y7.
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Acknowledgments
We thank Nikolay Bobev, Pieter Bomans, Matteo Sacchi, and Seyed Morteza Hosseini for helpful discussions. This work was supported in part by STFC grant ST/T000864/1. AL is supported by the Palmer scholarship in Mathematical Physics of Merton college.
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Boido, A., Lüscher, A. & Sparks, J. Matrix models from black hole geometries. J. High Energ. Phys. 2024, 226 (2024). https://doi.org/10.1007/JHEP05(2024)226
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DOI: https://doi.org/10.1007/JHEP05(2024)226