A note on causality in the bulk and stability on the boundary
arXiv:hep-th/0308044 · doi:10.1016/j.physletb.2003.10.003
Abstract
By carefully analyzing the radial part of the wave-equation for a scalar field in AdS, we show that for a particular range of boundary conditions on the scalar field, the radial spectrum contains a bound state. Using the AdS/CFT correspondence, we interpret this peculiar phenomenon as being dual to an unstable double trace deformation of the boundary conformal field theory. We thus show how the bulk theory holographically detects whether a boundary perturbation is stable.
7 pages; v2: reference added, PLB version
References in corpus (3)
Cited by in corpus (10)
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- Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
- Holographic Meson Melting
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- Bound States in the AdS/CFT Correspondence
- AdS/CFT, Multitrace Deformations and New Instabilities of Nonlocal String Theories
- Unstable mode and the Unruh-DeWitt detector
- Effects of Non-Conformal Boundary on Entanglement Entropy
- On the Role of Boundary Terms in the AdS/CFT Correspondence
- A Note on Scalar Field Theory in AdS_3/CFT_2