标题： W(sl(N+3),sl(3)) 代数及其收缩到 W3 显示英文标题

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

摘要： 我们构造了非线性$W(sl(N+3),sl(3))$代数，并找到中心荷的谱，该谱通过收缩$W(sl(N+3),sl(3))$代数得到一个属于陪集$W((sl(N+3),sl(3))/(u(1)\oplus sl(N))$的$W_3$代数。 谱的一部分之前被推测过，但另一部分是首次给出的。 利用将$W(sl(N+3),sl(3))$代数嵌入线性化代数的工具，我们构造了$W_3$在零场模下的新实现。 最后讨论了在共形线性化框架内预测非线性$W(sl(N+3),sl(3))$代数的最小模型的中心荷谱的可能性。 显示英文摘要

摘要： 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.