For d=3, Δ=2 Einstein-scalar gravity with sinusoidal sources on two R^3 boundaries, the large wormhole dominates the path integral whenever wormholes exist, and there is no Hawking-Page-like subdominant regime.
RG Fixed Points in Supergravity Duals of 4-d Field Theory and Asymptotically AdS Spaces
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Recently, it has been conjectured that supergravity solutions with two asymptotically AdS regions describe the RG flow of a 4-d field theory from a UV fixed point to an interacting IR fixed point. In this paper we lend support to this conjecture by showing that, in the UV (IR) limit, the two-point function of a minimally-coupled scalar field depends only on the UV (IR) region of the metric, asymptotic to AdS_5. This result is consistent with the interpretation of the radial coordinate of Anti de Sitter space as an energy scale, and it may provide an analog of the Callan-Symanzik equation for supergravity duals of strongly coupled field theories.
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Holographic RG flows and wormholes from sinusoidal scalars
For d=3, Δ=2 Einstein-scalar gravity with sinusoidal sources on two R^3 boundaries, the large wormhole dominates the path integral whenever wormholes exist, and there is no Hawking-Page-like subdominant regime.