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arxiv: hep-th/9207031 · v1 · pith:V6VONYJHnew · submitted 1992-07-10 · ✦ hep-th

Commuting quantities and exceptional W-algebras

classification ✦ hep-th
keywords chargescommutingexceptionalalgebracentralchargeconstructedcorresponding
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Sets of commuting charges constructed from the current of a U(1) Kac-Moody algebra are found. There exists a set S_n of such charges for each positive integer n > 1; the corresponding value of the central charge in the Feigin-Fuchs realization of the stress tensor is c = 13-6n-6/n. The charges in each series can be written in terms of the generators of an exceptional W-algebra.

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