AdS3 gravity and RCFT ensembles with multiple invariants

A bstract We use the Poincaré series method to compute gravity partition functions associated SU( N ) 1 WZW models with arbitrarily large numbers of modular invariants. The result is an average over these invariants, weights being given by inverting a matrix whose size order number For chosen models, this takes special form that allows us invert it for arbitrary and thereby explicitly calculate average. identity seed we find are positive all , consistent each model dual ensemble CFT’s.