9 citations · 21 across the 10 of their papers we have counts for
11 papers
An All-Loop Amplituhedron in Two Dimensions
Jonah Stalknecht
We define and study a positive geometry which serves as a natural generalization of loop amplituhedra to two-dimensional Minkowski space . The geometry…
Which Functions Admit a Positive Geometry? From Branch Cuts to String Amplitudes
Hyungrok Kim, Jonah Stalknecht
Positive geometry provides a geometric framework where physical observables are encoded as canonical forms associated to regions of kinematic space. In this paper we consider a gen…
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…
Positive Geometry for Stringy Scalar Amplitudes
Christoph Bartsch, Karol Kampf, David Podivin +1
We introduce a new positive geometry, the associahedral grid, which provides a geometric realization of the inverse string theory KLT kernel. It captures the full -dependence o…
Positive Geometries for Scattering Amplitudes in N=4 SYM and ABJM
Jonah Stalknecht
This thesis investigates geometric descriptions of scattering amplitudes, with a specific focus on scattering amplitudes in N=4 SYM and ABJM theory. The recent development of the f…
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 ABJM Momentum Amplituhedron -- ABJM Scattering Amplitudes From Configurations of Points in Minkowski Space
Tomasz Lukowski, Jonah Stalknecht
In this paper, we define the ABJM loop momentum amplituhedron, which is a geometry encoding ABJM planar tree-level amplitudes and loop integrands in the three-dimensional spinor he…
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…