5 papers
de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs
Livia Ferro, Tomasz Lukowski, Lecheng Ren +4
We present an explicit formula for the -site chain graph contribution to the cosmological wavefunction for conformally coupled theory in de Sitter space. Our result relie…
Generalised Cluster Adjacency for Cosmology
Mattia Capuano, Livia Ferro, Tomasz Lukowski +2
In this paper we study the cluster algebraic properties of wavefunction coefficients for conformally coupled scalar theories in de Sitter cosmology. We show that the symbol of the…
Cosmology meets cluster algebra
Mattia Capuano, Livia Ferro, Tomasz Lukowski +1
In this paper we explore the mathematical properties of wavefunction coefficients in power-law FRW cosmologies, and establish their relation to cluster algebras. We focus on the pa…
Canonical Differential Equations for Cosmology from Positive Geometries
Mattia Capuano, Livia Ferro, Tomasz Lukowski +1
Cosmological correlation functions are central observables in modern cosmology, as they encode properties of the early universe. In this paper, we derive novel canonical differenti…
The Geometry of BCFW for ABJM Loop Integrands
Livia Ferro, Ross Glew, Tomasz Lukowski +1
In this paper we investigate the loop-level geometry of ABJM theory from the perspective of lightcone geometries in dual space. This geometry admits a natural fibration, where one…