  In loop quantum gravity, a spherical black hole can be described in terms of
a Chern-Simons theory on a punctured 2-sphere. The sphere represents the
horizon. The punctures are the edges of spin-networks in the bulk which cross
the horizon and carry quanta of area. One can generalize this construction and
model a rotating black hole by adding an extra puncture colored with the
angular momentum J in the 2-sphere. We compute the entropy of rotating black
holes in this model and study its semi-classical limit. After performing an
analytic continuation which sends the Barbero-Immirzi parameter to +/- i, we
show that the leading order term in the semi-classical expansion of the entropy
reproduces the Bekenstein-Hawking law independently of the value of J.
