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Theoretical studies of the fractional quantum Hall effect (FQHE) in graphenehave so far focused on the plausibility and stability of the previously knownFQHE states for the interaction matrix elements appropriate for graphene. Weconsider FQHE for SU(4) symmetry, as appropriate for the situation when allfour spin and valley Landau bands are degenerate, and predict new FQHE statesthat have no analog in GaAs. These result from an essential interplay betweenthe two-fold spin and valley degeneracies at fractions of the form$\nu=n/(2pn\pm 1)$, for $n\geq 3$. Conditions are outlined for the observationof these states and quantum phase transitions between them; the structure ofthese states and their excitations is also described.Comment: accepted by PR

SU(4) composite fermions in graphene: Fractional quantum Hall states without analog in GaAs