80 citations · 628 across the 28 of their papers we have counts for
28 papers
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…
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…
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 Two-loop MHV Momentum Amplituhedron from Fibrations of Fibrations
Livia Ferro, Ross Glew, Tomasz Lukowski +1
Recently, a new approach to computing the canonical forms of the momentum amplituhedron in dual-momentum space was proposed by the authors. These are relevant for the integrands of…
Prescriptive Unitarity from Positive Geometries
Livia Ferro, Ross Glew, Tomasz Lukowski +1
In this paper, we define the momentum amplituhedron in the four-dimensional split-signature space of dual momenta. It encodes scattering amplitudes at tree level and loop integrand…
The Loop Momentum Amplituhedron
Livia Ferro, Tomasz Lukowski
In this paper we focus on scattering amplitudes in maximally supersymmetric Yang-Mills theory and define a long sought-after geometry, the loop momentum amplituhedron, which we con…