论文标题
顶点代数和大N分解的极限
Limits of Vertex Algebras and Large N Factorization
论文作者
论文摘要
我们研究了顶点代数的序列。我们讨论在哪个条件下，此类序列的向量空间直接极限再次是顶点代数。然后，我们将此框架应用于顶点操作员代数的置换孔及其较大的N限制。我们确定，对于任何嵌套的寡形置换置换术语，都存在这样的大n极限，并且我们给出了该极限的必要条件。这有助于阐明哪些VOA是物理中全息形成性领域理论的候选者的问题。
We investigate the limit of sequences of vertex algebras. We discuss under what condition the vector space direct limit of such a sequence is again a vertex algebra. We then apply this framework to permutation orbifolds of vertex operator algebras and their large N limit. We establish that for any nested oligomorphic permutation orbifold such a large N limit exists, and we give a necessary and sufficient condition for that limit to factorize. This helps clarify the question of what VOAs are candidates for holographic conformal field theories in physics.
