Wheeler–DeWitt equation and AdS/CFT correspondence

2013/06/30 by Francesco Cianfrani, Jerzy Kowalski-Glikman · 6 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Conformal map #Cosmology and Gravitation Theories #Loop quantum gravity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Semiclassical physics #Spacetime #Wave function #Wheeler–DeWitt equation #hep-th

paper · pdf · doi:10.1016/j.physletb.2013.07.034

published in Physics Letters B 725(4-5), 463-467 (Elsevier BV) · 8 pages, accepted for publication in Phys. Lett. B

arxiv created 2013/07/15 · openalex publication_date 2013/07/18 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The radial Wheeler–DeWitt equation on the asymptotically AdS spacetime proposed in Freidel [10] has as its semiclassical solution the wave function that asymptotically satisfies the conformal Ward identity, exemplifying the AdS/CFT correspondence. In this Letter we show that this result holds also in the case of a complete quantum solution of the radial Wheeler–DeWitt equation. It turns out that if the wave function is expanded in the parameter ρ with ρ→0 defines the asymptotic boundary of the spacetime, the quantum loop corrections to the semiclassical wave are of subleading order.

Citations

• Structural Issues in Quantum Gravity
• Reconstructing AdS/CFT
• Spacetime and the Holographic Renormalization Group
• Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
• Quantum Theory of Gravity. I. The Canonical Theory
• QUANTUM GRAVITY IN TWO DIMENSIONS
• Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly
• AdS/CFT correspondence and Geometry
• The large N limit of superconformal field theories and supergravity