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

Abstract

We propose that N M5-branes, put on R 4 /Z m with deformation parameters ǫ 1,2 , realize two-dimensional theory with 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. * on leave from IPMU, the University of Tokyo Introduction: N M5-branes, put on R 4 with Nekrasov's deformation parameters ǫ 1,2 ,

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