115 citations · 359 across the 8 of their papers we have counts for
9 papers
The Concentration-Mass Relation of Massive, Dynamically Relaxed Galaxy Clusters: Agreement Between Observations and CDM Simulations
Elise Darragh-Ford, Adam B. Mantz, Elena Rasia +5
The relationship linking a galaxy cluster's total mass with the concentration of its mass profile and its redshift is a fundamental prediction of the Cold Dark Matter (CDM) paradig…
The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
Simon Caron-Huot, Lance J. Dixon, James M. Drummond +6
We review the bootstrap method for constructing six- and seven-particle amplitudes in planar super Yang-Mills theory, by exploiting their analytic structure. We foc…
Tropical fans, scattering equations and amplitudes
James Drummond, Jack Foster, Ömer Gürdoğan +1
We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways.…
Algebraic singularities of scattering amplitudes from tropical geometry
James Drummond, Jack Foster, Ömer Gürdoğan +1
We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar super Yang-Mills theory. We argue that…
Tropical Grassmannians, cluster algebras and scattering amplitudes
James Drummond, Jack Foster, Ömer Gürdoğan +1
We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians . A finite clu…
Cluster adjacency and the four-loop NMHV heptagon
James Drummond, Jack Foster, Ömer Gürdoğan +1
We exploit the recently described property of cluster adjacency for scattering amplitudes in planar super Yang-Mills theory to construct the symbol of the four-loop…
Cluster adjacency beyond MHV
James Drummond, Jack Foster, Omer Gurdogan
We explore further the notion of cluster adjacency, focussing on non-MHV amplitudes. We extend the notion of adjacency to the BCFW decomposition of tree-level amplitudes. Adjacency…
Cluster adjacency properties of scattering amplitudes
James Drummond, Jack Foster, Omer Gurdogan
We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalise the Steinmann relations and are expressed in terms of…
Semisimplicity of certain representation categories
John E. Foster
We exhibit a correspondence between subcategories of modules over an algebra and sub-bimodules of the dual of that algebra. We then prove that the semisimplicity of certain such ca…