7 papers
Cluster Algebras, Cube Roots, and Energy Correlators in SYM
Dani Kaufman, Marcus Spradlin, Anastasia Volovich +1
We provide a cluster algebraic construction of the cube root symbol letters that appear at leading order in the near-collinear expansion of the four-point energy correlator in $\ma…
Symbol Alphabets in QCD and Flag Cluster Algebras
Andrzej Pokraka, Marcus Spradlin, Anastasia Volovich +1
The full 245-letter symbol alphabet for all planar massless two-loop six-point Feynman integrals was recently determined in arXiv:2412.19884 and arXiv:2501.01847. In a parallel mat…
Split-Helicity Tree Amplitudes and Flag Cluster Algebras
Shruti Paranjape, Marcus Spradlin, Anastasia Volovich +1
Recent work has uncovered a connection between the symbol letters of general massless scattering and (permutations of) cluster variables of partial flag varieties. In this paper we…
Hidden Zeros of the Cosmological Wavefunction
Shounak De, Shruti Paranjape, Andrzej Pokraka +2
Motivated by the recent discovery of hidden zeros in particle and string amplitudes, we characterize zeros of individual graph contributions to the cosmological wavefunction of a s…
Large deformations of Tr() and the world at infinity
Shruti Paranjape, Marcos Skowronek, Marcus Spradlin +1
The amplitudes of the non-linear sigma model can be obtained from those of Tr() theory by sending the kinematic (Mandelstam) variables to infinity in a certain direction. In…
From Feynman diagrams to the amplituhedron: a gentle review
Shounak De, Dmitrii Pavlov, Marcus Spradlin +1
In this article we review, for a mathematical audience, the computation of (tree-level) scattering amplitudes in Yang-Mills theory in detail, in order to bridge the gap in understa…