Gemünden Thomas, Keller Christoph A
Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland.
Department of Mathematics, University of Arizona, Tucson, AZ 85721-0089 USA.
Lett Math Phys. 2021;111(4):104. doi: 10.1007/s11005-021-01440-y. Epub 2021 Jul 31.
We investigate the large limit of permutation orbifolds of vertex operator algebras. To this end, we introduce the notion of nested oligomorphic permutation orbifolds and discuss under which conditions their fixed point VOAs converge. We show that if this limit exists, then it has the structure of a vertex algebra. Finally, we give an example based on for which the fixed point VOA limit is also the limit of the full permutation orbifold VOA.
我们研究顶点算子代数的置换orbifold的大尺度极限。为此，我们引入了嵌套寡同构置换orbifold的概念，并讨论了在哪些条件下它们的不动点顶点算子代数收敛。我们证明，如果这个极限存在，那么它具有顶点代数的结构。最后，我们给出一个基于 的例子，对于该例子，不动点顶点算子代数的极限也是全置换orbifold顶点算子代数的极限。
