Alejandra Castro, Juan F. Pedraza, Chiara Toldo, Evita Verheijden
SciPost Phys. 11, 102 (2021) ·
published 7 December 2021

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We study a twodimensional theory of gravity coupled to matter that is relevant to describe holographic properties of black holes with two equal angular momenta in five dimensions (with or without cosmological constant). We focus on the nearhorizon geometry of the nearextremal black hole, where the effective theory reduces to JackiwTeitelboim (JT) gravity coupled to a massive scalar field. We compute the corrections to correlation functions due to cubic interactions present in this theory. A novel feature is that these corrections do not have a definite sign: for AdS$_5$ black holes the sign depends on the mass of the extremal solution. We discuss possible interpretations of these corrections from a gravitational and holographic perspective.
We also quantify the imprint of the JT sector on the UV region, i.e. how these degrees of freedom, characteristic for the nearhorizon region, influence the asymptotically far region of the black hole. This gives an interesting insight on how to interpret the IR modes in the context of their UV completion, which depends on the environment that contains the black hole.
SciPost Phys. 8, 089 (2020) ·
published 17 June 2020

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We study gravitational perturbations around the near horizon geometry of the
(near) extreme Kerr black hole. By considering a consistent truncation for the
metric fluctuations, we obtain a solution to the linearized Einstein equations.
The dynamics is governed by two master fields which, in the context of the
nAdS$_2$/nCFT$_1$ correspondence, are both irrelevant operators of conformal
dimension $\Delta=2$. These fields control the departure from extremality by
breaking the conformal symmetry of the near horizon region. One of the master
fields is tied to large diffeomorphisms of the near horizon, with its equations
of motion compatible with a Schwarzian effective action. The other field is
essential for a consistent description of the geometry away from the horizon.
Alexandre Belin, Nathan Benjamin, Alejandra Castro, Sarah M. Harrison, Christoph A. Keller
SciPost Phys. 8, 084 (2020) ·
published 3 June 2020

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We explore large$N$ symmetric orbifolds of the $\mathcal N=2$ minimal
models, and find evidence that their moduli spaces each contain a supergravity
point. We identify singletrace exactly marginal operators that deform them
away from the symmetric orbifold locus. We also show that their elliptic genera
exhibit slow growth consistent with supergravity spectra in AdS$_3$. We thus
propose an infinite family of new holographic CFTs.
Dr Castro: "We would like to thank the ref..."
in Submissions  report on Breaking away from the near horizon of extreme Kerr