Rindler Bulk Reconstruction and Subregion Duality in AdS/CFT

Abstract

In this paper, we study the AdS-Rindler reconstruction. The CFT operators naively given by the holographic dictionary for the AdS-Rindler reconstruction contain tachyonic modes, which are inconsistent with the causality and unitarity of the CFT. Therefore, the subregion duality and the entanglement wedge reconstruction do not hold. We also find that the tachyonic modes in the AdS-Rindler patch lead to arbitrary high-energy or trans-Planckian modes in the global AdS. It means that the mode expansion of the Rindler patch is sensitive to the UV limit of the theory, that is, quantum gravity. In addition, the tachyonic modes are related to the existence of null geodesics connecting the past and future horizons.

28 pages, 1 figure, v2 : references added

References in corpus (5)

• Towards a derivation of holographic entanglement entropy
• The Unruh effect and its applications
• Holographic representation of local bulk operators
• Causality & holographic entanglement entropy
• Scanning Tunneling Macroscopy, Black Holes, and AdS/CFT Bulk Locality

Cited by in corpus (6)

• Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum
• HKLL for the Non-Normalizable Mode
• Squashed Entanglement from Generalized Rindler Wedge
• Canonical Quantization of the U(1) Gauge Field in the right Rindler-wedge in the Rindler Coordinates
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• Canonical Quantization of the U(1) Gauge Field in the Rindler Coordinates