Flat space gravity at finite cutoff

Abstract

We study the thermodynamics of Einstein gravity with vanishing cosmological constant subjected to conformal boundary conditions. Our focus is on comparing the series of subextensive terms to predictions from thermal effective field theory, with which we find agreement for the boundary theory on a spatial sphere, hyperbolic space, and flat space. We calculate the leading Wilson coefficients and observe that the first subextensive correction to the free energy is negative. This violates a conjectured bound on this coefficient in quantum field theory, which we interpret as a signal that gravity does not fully decouple in the putative boundary dual.

32 pages + appendices and references, 2 figures; v3: additional clarifications; matches published version

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Cited by in corpus (3)

• Freelance Holography, Part I: Setting Boundary Conditions Free in Gauge/Gravity Correspondence
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• Holographic pressure and volume for black holes