Generation of Large Lepton Asymmetries

We present here a realistic model to produce a very large lepton asymmetry L of 0.1 to 1, without producing a large baryon asymmetry. The model is based on the Affleck and Dine scenario, in which the field acquiring a large vacuum expectation value during inflation is a s-neutrino right. We require $L$ to be large enough for the electroweak symmetry to be spontaneously broken at all temperatures after inflation, with the consequent suppression of sphaleron transitions.