Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
Polchinski,The phase of the sum over spheres,Phys
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From the de Sitter partition function in various approximations, the volume probability distribution concentrates around the classical value but shifts to favor smaller universes as quantum effects increase.
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dS$^4$ Metamorphosis
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
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Euclidean volume fluctuations in de Sitter quantum gravity
From the de Sitter partition function in various approximations, the volume probability distribution concentrates around the classical value but shifts to favor smaller universes as quantum effects increase.