Abstract

In this talk, I will first introduce Cauchy Slice Holography (CSH), which connects CFT states in a holographic theory to bulk Wheeler-DeWitt states providing us with a bulk holographic dictionary. Unlike AdS/CFT, de Sitter (dS) space lacks a fully established holographic dictionary, but boundary observables remain constrained by conformal invariance. Using the CSH dictionary, I will show how to flow 2-point correlators from the boundary to a finite-time Poincaré slice of dS, enabling the computation of finite-time cosmological correlators. I’ll highlight key differences from the AdS case.

In the second part, I will explore the TTbar+Λd deformation to obtain a CFT dual of global dS by continuing this deformation of a Euclidean CFT with a sparse spectrum to Cauchy slices. Extending the flow past the static patch horizon leads to an imaginary spectrum, allowing an interpretation of the Gibbons-Hawking entropy microstates as living on Euclidean Cauchy slices. The CFT limit is restored as the deformation parameter approaches zero.

Time permitting I will discuss recent explorations for UV-completions of CSH which will thus define non-perturbative bulk quantum gravity.