  Because of the spin and Dirac-valley degrees of freedom, graphene allows the
observation of one-, two- or four-component fractional quantum Hall effect in
different parameter regions. We argue that some, though not all, apparently
puzzling features observed in recent experiments are consistent with a
two-component fractional quantum Hall effect, with the electron spin frozen but
the Dirac-valley symmetry approximately intact. In the SU(4) limit, we predict
that new low-energy Goldstone modes determine the stability of the fractional
quantum Hall states at 2/5, 3/7 etc.; SU(4) skyrmions are not relevant for the
low-energy physics.
