Abstract
In this note, we explore holographic attributes of four-dimensional near-extremal Reissner-Nordstrom black hole solutions in ungauged \( \mathcal{N} \) = 2 supergravity theories at the two-derivative level by recasting them as a specific first-order deformation in solution space, associated with an infinitesimal Harrison transformation, of black holes in an AdS2 space-time. Specifically, we use this link to exhibit how bulk properties, such as mass and entropy, of four-dimensional near-extremal black holes are holographically encoded in the one-dimensional boundary theory dual to gravity in an infinitesimally deformed AdS2 space-time. We do so for the case of four-dimensional near-extremal black holes that arise as deformations in solution space of BPS black holes by changing the non-extremality parameter. For these near-extremal black holes, we further show that the nAdS2 attractor mechanism can be recast as a specific deformation of the BPS flow equations in four dimensions. Additionally, we also discuss time-dependent perturbations of the four-dimensional near-extremal Reissner-Nordstrom solutions from a two-dimensional point of view.
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Aniceto, P., Cardoso, G.L. & Nampuri, S. Observations on holographic aspects of four-dimensional asymptotically flat \( \mathcal{N} \) = 2 black holes. J. High Energ. Phys. 2022, 142 (2022). https://doi.org/10.1007/JHEP05(2022)142
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DOI: https://doi.org/10.1007/JHEP05(2022)142