Unconventional SU(N) magnetism with the alkaline earth atoms and chiral spin liquids

Certain cold atoms, namely those whose electronic degrees of freedom are 
decoupled from their nuclear spin, and in particular, all the alkaline 
earth atoms, can be thought of as quantum particles with an SU(N)-symmetric 
spin. We show that the Mott insulator of such cold atoms is an SU(N)-symmetric 
antiferromagnet of the type previously not studied in the literature.  We 
further show that in two dimensions, this antiferromagnet is a chiral spin 
liquid, a long sought-after topological state of magnets, with fractional and 
non-Abelian excitations.