5 papers · 1 filter
Varieties of Lines in 3-Space
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
We consider configurations of lines in 3-space with incidences prescribed by a graph. This defines a subvariety in a product of Grassmannians. Leveraging a connection with rigidity…
Canonical Forms as Dual Volumes
Elia Mazzucchelli, Prashanth Raman
We study dual volume representations of canonical forms for positive geometries in projective spaces, expressing their rational canonical functions as Laplace transforms of measure…
Geometric Landau Analysis and Symbol Bootstrap
Dmitry Chicherin, Johannes Henn, Elia Mazzucchelli +3
We investigate how the positive geometry framework for loop integrands in super Yang-Mills theory constrains the structure of the integrated answers. This is done…
Exterior Cyclic Polytopes and Convexity of Amplituhedra
Elia Mazzucchelli, Elizabeth Pratt
The amplituhedron is a semialgebraic set in the Grassmannian. We study convexity and duality of amplituhedra. We introduce a notion of convexity, called \textit{extendable convexit…
All-loop Leading Singularities of Wilson Loops
Taro V. Brown, Johannes M. Henn, Elia Mazzucchelli +1
We study correlators of null, -sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the supersymmetric Yang-Mills theory. This finite obs…