4 papers
A combinatorial interpolation between the hypercube and the associahedron
Lara Bossinger, Ömer Gürdoğan
We study a family of polytopes interpolating between the hypercube and the associahedron. We give an explicit description of their normal fans and describe their combinatorics in t…
Singularities of massless scattering and cluster algebras
Lara Bossinger, James Drummond, Ross Glew +2
Partial flag varieties arise in the context of massless scattering kinematics. They can be associated to both spinor-helicity variables and momentum twistor variables in two separa…
Cluster structures on spinor helicity and momentum twistor varieties
Lara Bossinger, Jian-Rong Li
We study the homogeneous coordinate rings of partial flag varieties and Grassmannians in their Plücker embeddings and exhibit an embedding of the former into the latter. Both rings…
Adjacency for scattering amplitudes from the Gröbner fan
L. Bossinger, J. M. Drummond, R. Glew
Scattering amplitudes in planar super Yang-Mills theory exhibit singularities which reflect various aspects of the cluster algebras associated to the Grassmannians…