Abstract
We study permutation orbifolds of the 2-fold and 3-fold tensor product for the Virasoro vertex algebra Vc of central charge c. In particular, we show that for all but finitely many central charges (Vc⊗3)Z3 is a W-algebra of type (2,4,5,63,7,83,93,102). We also study orbifolds of their simple quotients and obtain new realizations of certain rational affine W-algebras associated to a principal nilpotent element. Further analysis of permutation orbifolds of the celebrated (2,5)-minimal vertex algebra L−225 is presented.
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