On W-algebras and the symmetries of defects of 6d N=(2,0) theory
Abstract
We consider 6d N=(2,0) theory on N M5-branes, together with a 4d defect labeled by a Young diagram Y specifying its global symmetry GY. A recent conjecture states that a compactification of this system leads to a 2d theory with W-algebra symmetry depending on Y. We provide a check of the conjecture by reproducing the level of the current subalgebra GY of this W-algebra from the property of the 4d defect.
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