Title: Tropical Geometry, Cluster Algebras and Scattering Amplitudes
Abstract: Recently there are hints that there should be an underlying geometrical
framework for describing scattering amplitudes in N=4 super Yang-Mills
theory. Cluster algebras encode many interesting physical statements about
the nature of singularities of these amplitudes and their relation to each
other. We find the notion of tropical geometry allows one to obtain finite
sets of singularities even when the cluster algebras become infinite and
moreover leads to a natural definition of algebraic singularities of exactly
the type seen in recent explicit calculations.
Talk – Video
Talk – Slides
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Last Updated: 1st October 2020 by George Rogers
James Drummond (University of Southampton)
Title: Tropical Geometry, Cluster Algebras and Scattering Amplitudes
Abstract: Recently there are hints that there should be an underlying geometrical
framework for describing scattering amplitudes in N=4 super Yang-Mills
theory. Cluster algebras encode many interesting physical statements about
the nature of singularities of these amplitudes and their relation to each
other. We find the notion of tropical geometry allows one to obtain finite
sets of singularities even when the cluster algebras become infinite and
moreover leads to a natural definition of algebraic singularities of exactly
the type seen in recent explicit calculations.
Talk – Video
Talk – Slides
Category: Uncategorised
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