11 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…
de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs
Livia Ferro, Tomasz Lukowski, Lecheng Ren +4
We present an explicit formula for the -site chain graph contribution to the cosmological wavefunction for conformally coupled theory in de Sitter space. Our result relie…
Landau Analysis of One-Cycle Negative Geometries
Shruti Paranjape, Marcos Skowronek, Marcus Spradlin +2
We use geometric Landau analysis to determine the singularity structure of four-point, one-cycle negative geometries in super-Yang-Mills theory, which represent cer…
Energy Correlators from Star Integrals via Mellin Space
Anastasia Volovich, Di Wu, Kai Yan
We explore the Mellin space representation for the collinear limit of -point energy correlators in super-Yang-Mills theory. We show that these correlators can be wr…
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…
Cluster Bootstrap for Cosmological Correlators
Shruti Paranjape, Marcos Skowronek, Marcus Spradlin +2
We show that cosmological wavefunction coefficients associated with -site chain and loop graphs for a cubic scalar theory in de Sitter spacetime have symbol alphabets given by s…