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Cluster? I barely even know her! An introduction to cluster algebras in scattering amplitudes

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Event description

Scattering amplitudes are a key input in calculating standard model predictions for particle colliders, and studying their analytic structure can provide vital insights. In maximally supersymmetric Yang-Mills theory, the analytic structure of amplitudes demonstrates a surprising connection with cluster algebras, commutative rings where generators are grouped into overlapping ‘clusters’. In this talk, I will discuss an object used to study the analytic structure of amplitudes - the symbol - and how we can use cluster algebras to make predictions about the symbol of amplitudes in maximally supersymmetric Yang-Mills theory.

Cluster? I barely even know her! An introduction to cluster algebras in scattering amplitudes

Venue

Higgs Centre for Theoretical Physics

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Organisers

  • Hidde Stoffels
  • Emese Ungar
  • Arianna Viganò

Online

STAMP: Cluster? I barely even know her! - Laura Walsh

Cluster? I barely even know her! An introduction to cluster algebras in scattering amplitudes Scattering amplitudes are a key input in calculating standard model predictions for particle colliders, and studying their analytic structure can provide vital insights. In maximally supersymmetric Yang-Mills theory, the analytic structure of amplitudes demonstrates a surprising connection with cluster algebras, commutative rings where generators are grouped into overlapping ‘clusters’. In this talk, I will discuss an object used to study the analytic structure of amplitudes - the symbol - and how we can use cluster algebras to make predictions about the symbol of amplitudes in maximally supersymmetric Yang-Mills theory.