157 citations · 556 across the 12 of their papers we have counts for
12 papers
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…
Pushforwards via Scattering Equations with Applications to Positive Geometries
Tomasz Lukowski, Robert Moerman, Jonah Stalknecht
In this paper we explore and expand the connection between two modern descriptions of scattering amplitudes, the CHY formalism and the framework of positive geometries, facilitated…
On the geometry of the orthogonal momentum amplituhedron
Tomasz Lukowski, Robert Moerman, Jonah Stalknecht
In this paper we study the orthogonal momentum amplituhedron , a recently introduced positive geometry that encodes the tree-level scattering amplitudes in ABJM theo…
The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms
Tomasz Lukowski, Jonah Stalknecht
In this paper we provide a formula for the canonical differential form of the hypersimplex for all and . We also study the generalization of the momentum amplituhe…
The positive tropical Grassmannian, the hypersimplex, and the m=2 amplituhedron
Tomasz Lukowski, Matteo Parisi, Lauren K. Williams
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 Gelf…
Yangian Symmetry for the Tree Amplituhedron
Livia Ferro, Tomasz Lukowski, Andrea Orta +1
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…
Revisiting N=4 superconformal blocks
Agnese Bissi, Tomasz Lukowski
We study four-point correlation functions of four generic half-BPS supermultiplets of N=4 SCFT in four dimensions. We use the two-particle Casimir of four-dimensional superconforma…
Oscillator Construction of su(n|m) Q-Operators
Rouven Frassek, Tomasz Lukowski, Carlo Meneghelli +1
We generalize our recent explicit construction of the full hierarchy of Baxter Q-operators of compact spin chains with su(n) symmetry to the supersymmetric case su(n|m). The method…
Five-Loop Anomalous Dimension of Twist-Two Operators
T. Lukowski, A. Rej, V. N. Velizhanin
In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N=4 SYM theory. Firstly, using reciprocity, we derive the contribution of the as…
Five loop Konishi from AdS/CFT
Zoltan Bajnok, Arpad Hegedus, Romuald A. Janik +1
We derive the perturbative five loop anomalous dimension of the Konishi operator in N = 4 SYM theory from the integrable string sigma model by evaluating finite size effects using…
Four loop twist two, BFKL, wrapping and strings
Zoltan Bajnok, Romuald A. Janik, Tomasz Lukowski
The anomalous dimensions of twist two operators have to satisfy certain consistency requirements derived from BFKL. For N=4 SYM it was shown that at four loops, the anomalous dimen…