纳拉因到纳尼亚
Narain to Narnia
摘要：
我们推广拓扑引力耦合到阿贝尔陈-西蒙斯理论在三维空间和纳雷恩的家庭在二维空间的无质量自由玻色子的系综平均之间的全息对应，发现由Afkhami-Jeddi等人。我们发现，对应也适用于环形orbifolds，但不适用于K3或Calabi-Yau σ模型，并不总是为极小模型。我们推测，对应关系要求中心荷等于由手征代数的渐近态密度定义的临界中心荷。对于环形轨道褶皱，我们通过使用三维球中的有理缠结的拓扑性质，将全息对应扩展到扭曲算子的关联函数，所述三维球表示与离散规范对称性相关联的涡旋的配置。
英文摘要：
We generalize the holographic correspondence between topological gravity coupled to an abelian Chern-Simons theory in three dimensions and an ensemble average of Narain's family of massless free bosons in two dimensions, discovered by Afkhami-Jeddi et al. and by Maloney and Witten. We find that the correspondence also works for toroidal orbifolds but not for K3 or Calabi-Yau sigma-models and not always for the minimal models. We conjecture that the correspondence requires that the central charge is equal to the critical central charge defined by the asymptotic density of states of the chiral algebra. For toroidal orbifolds, we extend the holographic correspondence to correlation functions of twist operators by using topological properties of rational tangles in the three-dimensional ball, which represent configurations of vortices associated to a discrete gauge symmetry.
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