Wheeler-De Witt equation and AdS/CFT correspondence

Abstract

The radial Wheeler--De Witt equation on the asymptotically AdS spacetime proposed in [9] has as its semiclassical solution the wave function that asymptotically satisfies the conformal Ward identity, exemplifying the AdS/CFT correspondence. In this paper we show that this results holds also in the case of a complete quantum solution of the radial Wheeler--De Witt equation. It turns out that if the wavefunction is expanded in the parameter $\rho$ with $\rho \to 0$ defines the asymptotic boundary of the spacetime, the quantum loop corrections to the semiclassical wave are of subleading order.

8 pages, accepted for publication in Phys. Lett. B

References in corpus (5)

• Holographic and Wilsonian Renormalization Groups
• AdS/CFT correspondence and Geometry
• Holographic renormalization as a canonical transformation
• On the non-local heat kernel expansion
• Reconstructing AdS/CFT

Cited by in corpus (5)

• Holography from the Wheeler-DeWitt equation
• Class of solutions of the Wheeler-DeWitt equation in the Friedmann-Robertson-Walker universe
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• A note on quantum supergravity and AdS/CFT
• Quantum relativistic cosmology: dynamical interpretation and tunneling universe