Limits of Vertex Algebras and Large N Factorization
Limits of Vertex Algebras and Large N Factorization
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DOI：
10.1007/s00220-023-04712-x
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发表时间：
2023-04-11
影响因子：
2.4
通讯作者：
Keller，Christoph A.
中科院分区：
文献类型：
--
作者：
Gemunden，Thomas;Keller，Christoph A.
研究了顶点代数序列的极限。我们讨论了在什么条件下这样的序列的向量空间直接极限又是一个顶点代数。然后，我们应用这个框架置换orbifolds顶点算子代数和他们的largeN极限。我们建立了任何嵌套的寡纯置换orbifold这样一个largeN极限存在，我们给了一个必要和充分条件，限制因式分解。这有助于澄清什么VOA可以引起物理学中的全息共形场论的问题。
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 largeNlimit. We establish that for any nested oligomorphic permutation orbifold such a largeNlimit exists, and we give a necessary and sufficient condition for that limit to factorize. This helps clarify the question of what VOAs can give rise to holographic conformal field theories in physics.