5 problems

Let an LS function determine a combinatoric polytope obtained from its associated scattering-form or kinematic-space construction. Simplicity conjecture. All combinatoric polytopes…

Let a leading singularity (LS) function be specified by a set of triplets, and suppose its associated $d\log$ hyperplane has constant conditions involving both $s_{i,j}$ and…

For a fixed set of scattered particles, consider the leading singularities of the associated scattering amplitudes and the geometric behavior observed in the bipartite-field-theory…

Leading singularities are rational functions obtained by iteratively taking discontinuities of loop amplitudes until no branch cuts remain. For a fixed set of scattered particles,…

Let an $hell$-loop scattering amplitude be an amplitude at loop order $hell$, and let a generalisation of the genus-zero twistor-string recursion relation be a recursion relation f…