Symmetry Constraints on the Initial Conditions of the Universe (de Sitter Correlators on Inflationary Boundary)
ABSTRACT
Inflationary correlation functions provide a unique probe of quantum fields in a quasi-de Sitter spacetime. In this talk, I will discuss the cosmological bootstrap approach, in which inflationary correlators are reconstructed directly from symmetry principles and singularity structures, without explicit bulk time-evolution calculations. Focusing on scalar exchange, I will show how conformal symmetry constrains de Sitter four-point functions and how physical singularities and factorization conditions determine their form. I will then discuss the relation between these results and inflationary bispectra, highlighting the connections among cosmological correlators, soft limits, and flat-space scattering amplitudes.
