The W(sl(N+3),sl(3)) algebras and their contractions to W3

Details The W(sl(N+3),sl(3)) algebras and their contractions to W3 The W(sl(N+3),sl(3)) algebras and their contractions to W3

1996-09-03

arxiv.org/abs/hep-th/9609038v2

Phys.Lett. B392 (1997) 350-359

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 tables, LaTeX, minor typos corrected on pages 4 and 7

Scientific paper

10.1016/S0370-2693(96)01562-6

We construct the nonlinear $W(sl(N+3),sl(3))$ algebras and find the spectrum of values of the central charge that gives rise, by contracting the $W(sl(N+3),sl(3))$ algebras, to a $W_3$ algebra belonging to the coset $W((sl(N+3),sl(3))/(u(1)\oplus sl(N))$. Part of the spectrum was conjectured before, but part of it is given here for the first time. Using the tool of embedding the $W(sl(N+3),sl(3))$ algebras into linearizing algebras, we construct new realizations of $W_3$ modulo null fields. The possibility to predict, within the conformal linearization framework, the central charge spectrum for minimal models of the nonlinear $W(sl(N+3),sl(3))$ algebras is discussed at the end.

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