Building blocks for $W$-algebras of classical types

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

The universal $2$-parameter vertex algebra $W_{\infty }$ of type $W(2,3,4,\dots )$ serves as a classifying object for vertex algebras of type $W(2,3,\dots ,N)$ for some $N$ in the sen…