Browsing Research publications by Author "Parisi, Matteo"

Now showing items 1-7 of 7

    • Amplituhedron meets Jeffrey-Kirwan Residue 

      Ferro, Livia; Lukowski, Tomasz; Parisi, Matteo (2018-12-28)
      The tree amplituhedra A^(m)_n,k are mathematical objects generalising the notion of polytopes into the Grassmannian. Proposed for m=4 as a geometric construction encoding tree-level scattering amplitudes in planar N=4 super ...

    • Cluster Adjacency for m=2 Yangian Invariants 

      Lukowski, Tomasz; Parisi, Matteo; Spradlin, Marcus; Volovich, Anastasia (2019-10-14)
      We classify the rational Yangian invariants of the $m=2$ toy model of $\mathcal{N}=4$ Yang-Mills theory in terms of generalised triangles inside the amplituhedron $\mathcal{A}_{n,k}^{(2)}$. We enumerate and provide an ...

    • The Momentum Amplituhedron 

      Damgaard, David; Ferro, Livia; Lukowski, Tomasz; Parisi, Matteo (2019-08-08)
      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 Yang-Mills theory in spinor helicity space. Inspired ...

    • The positive tropical Grassmannian, the hypersimplex, and the m=2 amplituhedron 

      Lukowski, Tomasz; Parisi, Matteo; Williams, Lauren K. (2023-03-07)
      The study of the moment map from the Grassmannian to the hypersimplex, and the relation between torus orbits and matroid polytopes, dates back to the foundational 1987 work of Gelfand-Goresky-MacPherson-Serganova. On the ...

    • Towards the Amplituhedron Volume 

      Ferro, Livia; Lukowski, Tomasz; Orta, Andrea; Parisi, Matteo (2016-03-03)
      It has been recently conjectured that scattering amplitudes in planar N=4 super Yang-Mills are given by the volume of the (dual) amplituhedron. In this paper we show some interesting connections between the tree-level ...

    • Tree-level scattering amplitudes from the amplituhedron 

      Ferro, Livia; Lukowski, Tomasz; Orta, Andrea; Parisi, Matteo (2017-06-07)
      A central problem in quantum field theory is the computation of scattering amplitudes. However, traditional methods are impractical to calculate high order phenomenologically relevant observables. Building on a few decades ...

    • Yangian Symmetry for the Tree Amplituhedron 

      Ferro, Livia; Lukowski, Tomasz; Orta, Andrea; Parisi, Matteo (2017-06-29)
      Tree-level scattering amplitudes in planar N=4 super Yang-Mills are known to be Yangian-invariant. It has been shown that integrability allows to obtain a general, explicit method to find such invariants. The uplifting of ...