In a 3d toy model for holographic cosmology, a mass term preserving generalized conformal structure permits 2-loop computations that indicate possible IR finiteness beyond perturbation theory, corresponding to UV finiteness without singularities in the 4d dual.
The Holographic Universe
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abstract
We present a holographic description of four-dimensional single-scalar inflationary universes in terms of a three-dimensional quantum field theory. The holographic description correctly reproduces standard inflationary predictions in their regime of applicability. In the opposite case, wherein gravity is strongly coupled at early times, we propose a holographic description in terms of perturbative QFT and present models capable of satisfying the current observational constraints while exhibiting a phenomenology distinct from standard inflation. This provides a qualitatively new method for generating a nearly scale-invariant spectrum of primordial cosmological perturbations.
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2026 1verdicts
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3d QFT IR divergences as UV divergences in 4d Holographic Cosmology
In a 3d toy model for holographic cosmology, a mass term preserving generalized conformal structure permits 2-loop computations that indicate possible IR finiteness beyond perturbation theory, corresponding to UV finiteness without singularities in the 4d dual.