Dynamical Constraints on RG Flows and Cosmology

Understand

Sum rules connecting low-energy observables to high-energy physics are an interesting way to probe the mechanism of inflation and its ultraviolet origin.

• Unfortunately, such sum rules have proven difficult to study in a cosmological setting.
• Motivated by this problem, we investigate a precise analogue of inflation in anti-de Sitter spacetime, where it becomes dual to a slow renormalization group flow in the boundary quantum field theory.
• This dual description provides a firm footing for exploring the constraints of unitarity, analyticity, and causality on the bulk effective field theory.