  A large neutrino asymmetry is an interesting possibility for cosmology, which
can have significant observable consequences for nucleosynthesis and the cosmic
microwave background. However, although it is a possibility, there is no
obvious reason to expect the neutrino asymmetry to be observably large. Here we
note that if the baryon asymmetry originates via the Affleck-Dine mechanism
along a d=4 flat direction of the MSSM scalar potential and if the lepton
asymmetry originates via Affleck-Dine leptogenesis along a d=6 direction,
corresponding to the lowest dimension directions conserving R-parity, then the
ratio n_{L}/n_{B} is naturally in the range 10^{8}-10^{9}. As a result, a
potentially observable neutrino asymmetry is correlated with a baryon asymmetry
of the order of 10^{-10}.
