AI 中文总结
本注记将Gepner构造描述为orbifold，利用Type 0 SCFT orbifold的额外自由度，确定其镜像构造的存在性，并提供控制相位模糊性与分支切割的顶点算子确定框架。
AI 中文摘要
在本注记中，我们将Gepner构造纯粹描述为orbifold（而非常规的beta-方案或类orbifold过程），方法是区分手征对称性的orbifolding与左右对角对称性的orbifolding，并利用Type 0 SCFT的orbifold中存在的额外自由度。我们还通过Arf理论说明，Type 0 SCFT orbifolds中的额外自由度（不限于Gepner构造）应如何在高亏格振幅中实现。本注记还确定了Gepner构造的组合数据集何时具有镜像Gepner构造，并提供两种思考框架，用于确定Gepner模型SCFT的SCFT顶点算子，同时控制相位模糊性与分支切割。
英文摘要
In this note, we describe the Gepner construction purely as orbifold (rather than a beta-prescription or orbifold-like process). This is done by distinguishing orbifolding by a chiral symmetry from that by a left-right diagonal symmetry, and also by exploiting an extra degree of freedom available in orbifolds of Type 0 SCFTs. We also describe by using the Arf theory how the extra freedom in Type 0 SCFT orbifolds in general (not just in the Gepner construction) should be implemented in higher genus amplitudes. This note also determines when a combinatorial data set of a Gepner construction has a mirror Gepner construction, and also provides two thinking frameworks to determine the SCFT vertex operators of the Gepner model SCFTs with phase ambiguity and branch cuts under control.
