论文标题

特殊流程方程和GKP的关系

Special flow equation and GKP-Witten relation

论文作者

Aoki, Sinya, Balog, Janos, Onogi, Tetsuya, Yokoyama, Shuichi

论文摘要

我们开发了一个框架,用于重建批量理论双重二元对形式理论(CFT),而没有通过流程方程进行任何假设。为此,我们研究了自由流程方程的最小扩展,并发现在特殊的参数化中,准确的涂抹涂片操作员的共形转换成为了反DE保姆空间(ADS)的等轴测图。通过使用该特殊流程方程到O $(n)$向量模型,我们明确表明广告几何以及满足GKP-Witten关系的标量场在此框架中同时出现。

We develop a framework for the reconstruction of the bulk theory dual to conformal field theory (CFT) without any assumption by means of a flow equation. To this end we investigate a minimal extension of the free flow equation and find that at a special parametrization the conformal transformation for a normalized smeared operator exactly becomes the isometry of anti-de Sitter space (AdS). By employing this special flow equation to O$(N)$ vector models, we explicitly show that the AdS geometry as well as the scalar field satisfying the GKP-Witten relation concurrently emerge in this framework.

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