  We derive the frequency-resolved heat current expression in the linear
response regime for a setup comprised of reservoir, interacting central site,
and tunneling barrier under the action of a time dependent electrical signal.
We exploit the frequency parity properties of response functions to obtain the
heat current expression for interacting quantum conductors. Importantly, the
corresponding heat formula, valid for arbitrary AC frequencies, can describe
photon-assisted heat transport. In particular, we analyze the heat transfer for
an interacting multilevel conductor (a carbon nanotube quantum dot) coupled to
a single reservoir. We show that the electrothermal admittance can reverse its
sign by properly tunning the AC frequency.
