AdS/CFT とテンソルネットワーク

匡 高柳, 辰磨 西岡, 真生 笠

Takanori Ishii, Daichi Takeda

We develop, in the AdS/CFT correspondence, a method to compute correlation functions when the conformal field theory (CFT) is governed by the Lindblad equation for open quantum systems, via the anti–de Sitter (AdS) theory. Using a simple example in AdS 3 / CFT 2 , we demonstrate that the predictions of the AdS theory based on our method match the direct computations in the dual CFT. We also briefly discuss the relaxation problem and the holographic entropy in this example.

匡 高柳

Seungjoon Hyun A, Sang A. Park

We show that the anti-de Sitter(AdS) space naturally emerges from the conformal field theory(CFT). The behavior of the leading divergent term in the entanglement entropy implies the underlying AdS geometry. The coefficient of the leading divergent term is related to the radius of the AdS space. All these are confirmed fully for the two dimensional CFTs. We also give comments for the higher dimensional CFTs.

Seungjoon Hyun A, Sang-A Park

We show that the anti-de Sitter(AdS) space naturally emerges from the conformal field theory (CFT). The behavior of the leading divergent term in the entanglement entropy implies the underlying AdS geometry. The coefficient of the leading divergent term is related to the radius of the AdS space. All these are confirmed fully for two-dimensional CFTs. We also give comments for higher dimensional CFTs.