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arXiv 1502.02487hep-thcond-mat.str-el
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应力张量和曲面算子的OPE

OPE of the stress tensors and surface operators

Xing Huang, Ling-Yan Hung, Feng-Li Lin

摘要:

我们证明,在OPE的应力张量和一般形状的表面算子中的发散项不能仅从仅取决于表面的形状的局部几何数据来构造。我们在d=3时用全息方法验证了这一点,威尔逊线算子或等效的扭曲算子对应于使用Ryu-Takayanagi公式计算纠缠熵。我们讨论了这一结果的可能影响。

英文摘要:

We demonstrate that the divergent terms in the OPE of a stress tensor and a surface operator of general shape cannot be constructed only from local geometric data depending only on the shape of the surface. We verify this holographically at d=3 for Wilson line operators or equivalently the twist operator corresponding to computing the entanglement entropy using the Ryu-Takayanagi formula. We discuss possible implications of this result.

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