Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
Date  Jeudi 19 Septembre 2024 
Heure  10:00 
Institut  IHP 
Salle  Salle Grisvard (314) 
Nom de l'orateur  Dixon 
Prenom de l'orateur  Lance 
Addresse email de l'orateur  
Institution de l'orateur  SLAC 
Titre  Antipodal (Self)Duality in Planar N=4 SuperYangMills Theory 
Résumé  Abstract: In the planar limit of a large number of colors, N=4 SuperYangMills theory becomes integrable and certain scattering amplitudes and form factors can be computed to 8 loops. Due to known symmetries, the first nontrivial amplitude in this theory is for six gluons. It can be bootstrapped to high loop order, using the rigidity of the function space of multiple polylogarithms and information from integrability, namely the pentagon OPE. A particular form factor, for the chiral stresstensor operator to produce 3 gluons, can be bootstrapped through 8 loops. This form factor is the N=4 analog of the LHC process, gluon gluon > Higgs + gluon. Remarkably, the two quantities are related by a mysterious “antipodal” duality, which exchanges the role of branch cuts and derivatives. Furthermore, this duality is “explained” by an antipodal selfduality of the 4gluon form factor of the same operator. The selfduality has been verified through 3 loops. Recently, antipodal selfduality has appeared in certain square fishnet integrals that govern 4point correlators in a stronglydeformed limit of planar N=4 SYM. However, we still don't know “who ordered” antipodal (self)duality, or what it really means. 
Numéro de preprint arXiv  
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