%0 Journal Article %A Tomoyuki Arakawa %T Rationality of $W$-algebras: principal nilpotent cases %J Annals of mathematics %D 2015 %P 565-604 %V 182 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.2.4/ %R 10.4007/annals.2015.182.2.4 %G en %F 10_4007_annals_2015_182_2_4