Theory of a fermionic superfluid with SU(2) x SU(6) symmetry

We study theoretically interspecies Cooper pairing in a fermionic system with SU(2) x SU(6) symmetry. We show that, with suitable unitary transformations, the order parameter for the ground state can be reduced to only two nonvanishing complex components. The ground state has a large degeneracy. We find that while some Goldstone modes have linear dispersion, others are quadratic at low frequencies. We compare our results with the case of SU(N).