Bulk locality and boundary creating operators
Bulk locality and boundary creating operators
复制标题
批量局部性和边界创建运算符
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
H. Ooguri
中科院分区：
文献类型：
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作者：
Y. Nakayama;H. Ooguri
本文给出了CFT算子在对偶AdS中局部化的最低要求。在任何时空维度，我们表明，一般的解决方案的要求是一个线性叠加的运营商创建球形边界CFT，膨胀的虚单位从他们的中心。这推广了Miyaji等人最近提出的关于三维AdS中大块局部算子的建议。我们证明了在任意维数下，整体共形对称的Ishibashi态和虚膨胀都服从AdS中的自由场方程，而包含体相互作用则需要它们的叠加.我们还评论了Kabat等人最近的提议，和H.维林德
A bstractWe formulate a minimum requirement for CFT operators to be localized in the dual AdS. In any spacetime dimensions, we show that a general solution to the requirement is a linear superposition of operators creating spherical boundaries in CFT, with the dilatation by the imaginary unit from their centers. This generalizes the recent proposal by Miyaji et al. for bulk local operators in the three dimensional AdS. We show that Ishibashi states for the global conformal symmetry in any dimensions and with the imaginary di-latation obey free field equations in AdS and that incorporating bulk interactions require their superpositions. We also comment on the recent proposals by Kabat et al., and by H. Verlinde.