6 papers
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…
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…
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…
On Unitarity of Bespoke Amplitudes
Rishabh Bhardwaj, Marcus Spradlin, Anastasia Volovich +1
We use partial wave unitarity to constrain various bespoke four-point amplitudes. We start by constructing bespoke generalizations of the type I superstring amplitude, which we sho…