Symbol Recursion for the dS Wave Function

Abstract

We present a recursive rule for the symbol of perturbative contributions to the vacuum wave function of a conformally coupled scalar in FRW cosmologies. The rule applies exactly for a class of interactions and cosmologies, which contains λϕ^3 in dS_4, a case of particular relevance as a source of building blocks for inflationary correlators. We use the rule to efficiently reproduce the tree-level four-point contribution and present novel computations of the bubble integrand and the tree-level five-point contribution. Our results apply equally well to the computation of Witten diagrams in Euclidean AdS.

References in corpus (5)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• Cosmological Collider Physics
• Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
• Cosmological Polytopes and the Wavefunction of the Universe
• One-Loop Integrals from Spherical Projections of Planes and Quadrics