Bulk versus boundary quantum states
Henrique Boschi-Filho, Nelson R. F. Braga
TL;DR
This paper establishes a detailed holographic correspondence between bulk and boundary quantum states in AdS space, revealing an ultraviolet-infrared duality and dependence on discretization, with implications for understanding quantum gravity.
Contribution
It introduces an explicit one-to-one mapping between bulk and boundary scalar field operators, highlighting the role of energy scales and discretization in holographic duality.
Findings
Mapping exhibits ultraviolet-infrared duality
Massless limit covers entire field spectrum
Discretization affects the mapping significantly
Abstract
An explicit holographic correspondence between bulk and boundary quantum states is found in the form of a one to one mapping between scalar field creation/annihilation operators. The mapping requires the introduction of arbitrary energy scales and exhibits an ultraviolet-infrared duality: a small regulating mass in the boundary theory corresponds to a large momentum cutoff in the bulk. In the massless (conformal) limit of the boundary theory the mapping covers the whole field spectrum of both theories. The mapping strongly depends on the discretization of the field spectrum of compactified space in Poincare coordinates.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.