  We study a two-dimensional theory of gravity coupled to matter that is
relevant to describe holographic properties of black holes with a single
rotational parameter in five dimensions (with or without cosmological
constant). We focus on the near-horizon geometry of the near-extremal black
hole, where the effective theory reduces to Jackiw-Teitelboim (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 near-horizon 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.
