M. Parisi

activity

20182020

most citedPositive Geometries and Differential Forms with Non-Logarithmic Singularities I

20 citations · 20 across the 2 of their papers we have counts for

collaborators

6 papers

math.CO2020

Triangulations and Canonical Forms of Amplituhedra: a fiber-based approach beyond polytopes

Fatemeh Mohammadi, Leonid Monin, Matteo Parisi

Any totally positive $(k + m) \times n$ matrix induces a map $π_{+}$ from the positive Grassmannian $Gr_{+} (k, n)$ to the Grassmannian $Gr (k, k + m)$ , whose image is the amplituhe…

hep-th2020

Cluster patterns in Landau and Leading Singularities via the Amplituhedron

Ömer Gürdoğan, Matteo Parisi

We advance the exploration of cluster-algebraic patterns in the building blocks of scattering amplitudes in $N = 4$ super Yang-Mills theory. In particular we conjecture tha…

hep-th2020★ 20 cited

Positive Geometries and Differential Forms with Non-Logarithmic Singularities I

Paolo Benincasa, Matteo Parisi

Positive geometries encode the physics of scattering amplitudes in flat space-time and the wavefunction of the universe in cosmology for a large class of models. Their unique canon…

hep-th2019

Cluster Adjacency for m=2 Yangian Invariants

Tomasz Lukowski, Matteo Parisi, Marcus Spradlin +1

We classify the rational Yangian invariants of the $m = 2$ toy model of $N = 4$ Yang-Mills theory in terms of generalised triangles inside the amplituhedron $\mathcal{A}_{n,k…

hep-th2019

The Momentum Amplituhedron

David Damgaard, Livia Ferro, Tomasz Lukowski +1

In this paper we define a new object, the momentum amplituhedron, which is the long sought-after positive geometry for tree-level scattering amplitudes in $N = 4$ super Yan…

hep-th2018

Amplituhedron meets Jeffrey-Kirwan Residue

Livia Ferro, Tomasz Lukowski, Matteo Parisi

The tree amplituhedra $A_{n, k}^{(m)}$ are mathematical objects generalising the notion of polytopes into the Grassmannian. Proposed for $m = 4$ as a geometric construction…