  We construct a SU(2) connection formulation of Kerr isolated horizons. As in
the non-rotating case, the model is based on a SU(2) Chern-Simons theory
describing the degrees of freedom on the horizon. The presence of a
non-vanishing angular momentum modifies the admissibility conditions for spin
network states. Physical states of the system are in correspondence with open
intertwiners with total spin matching the angular momentum of the spacetime.
