Central charges of para-Liouville and Toda theories from M5-branes

We propose that $N$ M5-branes, put on ${\mathbb{R}}^{4}/{\mathbb{Z}}_{m}$ with deformation parameters ${ϵ}_{1,2}$, realize two-dimensional theory with $\stackrel{^}{\mathrm{SU}}(m{)}_{N}$ symmetry and $m$th para-${W}_{N}$ symmetry. This includes the standard ${W}_{N}$ symmetry for $m=1$ and super-Viraroro symmetry for $m=N=2$. We provide a small check of this proposal by calculating the central charge of the 2D theory from the anomaly polynomial of the 6D theory.