Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Jeudi 2 Fevrier 2023
Heure 10:00
Institut IHP
Salle Grisvard (314)
Nom de l'orateur Drummond
Prenom de l'orateur James
Addresse email de l'orateur
Institution de l'orateur U. Southampton
Titre Cluster algebras, Gröbner theory and massless amplitudes
Résumé Amplitudes in planar N=4 super Yang-Mills theory exhibit fascinating analytic properties which are intimately connected to cluster algebras. In this talk I will describe a different language for uncovering these features based on the theory of Gröbner bases for polynomial ideals. By applying this analysis to the Grassmannian Plücker relations we will recover the singularities, or `symbol alphabet', and cluster adjacency relations satisfied by the N=4 amplitudes. We will then generalise this formalism to non-dual conformal and non-planar theories and show how to recover the alphabet for massless five-point amplitudes in QCD and gravity.
Numéro de preprint arXiv
Fichiers attachés

Pour obtenir l' affiche de ce séminaire : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]