标题： 镜像对称与构造Gepner模型的轨道空间的新方法 显示英文标题

标题： Mirror symmetry and new approach to constructing orbifolds of Gepner models

摘要： 受共形Bootstrap原理，尤其是局域性原理的启发，同时满足时空超对称性的要求，我们重新考虑了紧化超弦模型的构造。 从时空超对称性和相互局域性的要求出发，我们构建了Gepner模型的轨道空间的所有物理场的完整集合。 为了技术上实现这一点，我们使用谱流生成元，从纯弦初态场构造所有物理场。 这些谱流算子的集合形成所谓的允许群$G_{adm}$，它定义了一个给定的轨道空间。 这些算子的作用产生了一组与超对称生成元作用一致的物理场。 从这组场中选择相互局域的场是通过镜像群$G^*_{adm}$来完成的。 $G_{adm}$和$G^*_{adm}$的置换将原始轨道空间替换为一个满足与原始轨道空间相同条件的镜像轨道空间。 这也意味着所得到的模型是模不变的。 显示英文摘要

摘要： Motivated by the principles of the conformal bootstrap, primarily the principle of Locality, simultaneously with the requirement of space-time supersymmetry, we reconsider constructions of compactified superstring models. Starting from requirements of space-time supersymmetry and mutual locality, we construct a complete set of physical fields of orbifolds of Gepner models. To technically implement this, we use spectral flow generators to construct all physical fields from the chiral primary fields. The set of these spectral flow operators forms a so-called admissible group $G_{adm}$, which defines a given orbifold. The action of these operators produces a collection of physical fields consistent with the action of supersymmetry generators. The selection of mutually local fields from this collection is carried out using the mirror group $G^*_{adm}$. The permutation of $G_{adm}$ and $G^*_{adm}$ replaces the original orbifold with a mirror one that satisfies the same conditions as the original one. This also implies that the resulting model is modular invariant.