Special flow equation and the GKP-Witten relation
Special flow equation and the GKP-Witten relation
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特殊流动方程和 GKP-Witten 关系
DOI：
10.1093/ptep/ptad002
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发表时间：
2023
影响因子：
3.5
通讯作者：
Yokoyama Shuichi
中科院分区：
文献类型：
--
作者：
Aoki Sinya;Balog Janos;Onogi Tetsuya;Yokoyama Shuichi
我们开发了一个框架，重建的体积理论对偶共形场理论，没有任何假设的流动方程。为此，我们调查的自由流方程的最小扩展，并发现在一个特殊的参数化的正规化涂抹算子的共形变换正好成为反德西特空间（AdS）的等距。通过对O（N）矢量模型采用这种特殊的流方程，我们明确地证明了AdS几何以及满足GKP-Witten关系的标量场同时出现在这个框架中.
We develop a framework for the reconstruction of the bulk theory dual to conformal field theory 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 for 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.