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arXiv · 1306.0353

Wheeler-De Witt equation and AdS/CFT correspondence

Francesco Cianfrani·Jerzy Kowalski-Glikman
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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 $ρ$ with $ρ\rightarrow0$ defines the asymptotic boundary of the spacetime, the quantum loop corrections to the semiclassical wave are of subleading order.

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Francesco Cianfrani, Jerzy Kowalski-Glikman. 2013-07-15. Wheeler-De Witt equation and AdS/CFT correspondence. https://doi.org/10.1016/j.physletb.2013.07.034

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