论文标题
对称产品Orbifold CFTS的陌生人事物
The Stranger Things of Symmetric Product Orbifold CFTs
论文作者
论文摘要
对称产品Orbifold理论非常有价值，因为它们的通用功能在$ n $中。在这里，我们将证明它们具有不那么普遍的特征：我们提供了在模量空间内变形下奇怪行为的证据。为此，我们考虑了$ \ Mathcal {n} = 2 $ super-virasoro最小模型的张量产品的对称产品Orbifold，并根据两个标准对其进行分类。第一个标准是存在触发变形的单个轨道扭曲的单轨扭曲。第二个标准是椭圆属中光态生长的稀疏条件。在这种情况下，我们遇到了一个奇怪的品种：遵守第一个标准的理论，但第二个标准属于类似于人的增长。我们解释了为什么这可能是违反直觉的，并讨论了如何在共形扰动理论中考虑它。我们还找到了一个符合这两个标准的新的无限理论，这对于每个模量空间都包含超级重点是必要的条件。
Symmetric product orbifold theories are valuable due to their universal features at large $N$. Here we will demonstrate that they have features that are not as pervasive: we provide evidence of strange behaviour under deformations within their moduli space. To this end, we consider the symmetric product orbifold of tensor products of $\mathcal{N}=2$ super-Virasoro minimal models, and classify them according to two criteria. The first criterion is the existence of a single-trace twisted exactly marginal operator that triggers the deformation. The second criterion is a sparseness condition on the growth of light states in the elliptic genera. In this context we encounter a strange variety: theories that obey the first criterion but the second criterion falls into a Hagedorn-like growth. We explain why this may be counter-intuitive and discuss how it might be accounted for in conformal perturbation theory. We also find a new infinite class of theories that obey both criteria, which are necessary conditions for each moduli space to contain a supergravity point.
