Para-Liouville/Toda central charges from M5-branes

Abstract

We propose that N M5-branes, put on R4/Zm with deformation parameters epsilon1,2, realize two-dimensional theory with SU(m)N symmetry and m-th para-WN symmetry. This includes the standard WN 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.

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