Tomasz Łukowski
University of Hertfordshire
9 Papers
122 Citations
Tomasz Łukowski is an academic researcher from University of Hertfordshire. The author has contributed to research in topics: Amplituhedron & Helicity. The author has an hindex of 7, co-authored 9 publications. Previous affiliations of Tomasz Łukowski include University of Oxford.
Chat about Author
Papers
Revisiting N = 4 superconformal blocks
Agnese Bissi,Tomasz Łukowski +1 more
TL;DR: In this paper, the authors derived superconformal blocks which contribute to the partial wave expansion of four generic half-BPS supermultiplets of the SCFT in four dimensions.
Amplituhedron meets Jeffrey–Kirwan residue
TL;DR: In this article, the relation between scattering amplitudes and geometry was strengthened by linking the amplituhedron to the Jeffrey-Kirwan residue, a powerful concept in symplectic and algebraic geometry.
From momentum amplituhedron boundaries to amplitude singularities and back
TL;DR: The momentum amplituhedron is a positive geometry encoding tree-level scattering amplitudes in spinor-helicity space as discussed by the authors, and it has Euler characteristic equal to one.
Cluster adjacency for m = 2 Yangian invariants
TL;DR: In this article, the rational Yangian invariants of the m = 2 toy model were classified in terms of generalised triangles inside the amplituhedron, and an explicit formula for all invariants for any number of particles n and any helicity degree k. Each invariant manifestly satisfies cluster adjacency with respect to the Gr(2, n) cluster algebra.
Kleiss-Kuijf relations from momentum amplituhedron geometry
TL;DR: In this paper, it was shown that color-ordered scattering amplitudes can be encoded as logarithmic differential forms on positive geometries and that the Kleiss-Kuijf relations arise from the geometry of the momentum amplituhedron.