  We demonstrate that Kerr-CFT duality can be extended to super-entropic black
holes, which have non-compact horizons with finite area. We demonstrate that
this duality is robust insofar as the ultra-spinning limit of a Kerr-AdS black
hole (which yields the super-entropic class)commutes with the near-horizon
limit (which yields the Kerr-CFT duality). Consequently the Bekeinstein-Hawking
and the CFT entropies are equivalent. We show that the duality holds for both
singly-spinning super-entropic black holes in 4 dimensions and for
doubly-spinning super-entropic black holes of gauged supergravity in 5
dimensions. In both cases we obtain not only the expected left/right
temperatures, but also temperatures associated with electric charge and with a
new thermodynamic parameter specific to super-entropic black holes.
