  We predict the formation and superfluidity of polaritons in an optical
microcavity formed by excitons in gapped graphene embedded there and
microcavity photons. The Rabi splitting related to the creation of an exciton
in a graphene layer in the presence of the band gap is obtained. The analysis
of collective excitations as well as the sound velocity is presented. We show
that the superfluid density and temperature of the Kosterlitz-Thouless phase
transition are decreasing functions of the energy gap.
