Commuting quantities and exceptional W-algebras

Abstract

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.

27 pages, KCL-TH-92-1

References in corpus (2)

• Lectures on W algebras and W gravity
• Integrability of the quantum KdV equation at c = -2

Cited by in corpus (4)

• Bits and Pieces in Logarithmic Conformal Field Theory
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• On the relation between integrability and infinite-dimensional algebras
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