PIRSA:23040071

Antipodal (Self-)Duality in Planar N=4 Super-Yang-Mills Theory

Dixon, L. (2023). Antipodal (Self-)Duality in Planar N=4 Super-Yang-Mills Theory. Perimeter Institute. https://pirsa.org/23040071

Dixon, Lance. Antipodal (Self-)Duality in Planar N=4 Super-Yang-Mills Theory. Perimeter Institute, Apr. 04, 2023, https://pirsa.org/23040071 

          @misc{ pirsa_PIRSA:23040071,
            doi = {10.48660/23040071},
            url = {https://pirsa.org/23040071},
            author = {Dixon, Lance},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Antipodal (Self-)Duality in Planar N=4 Super-Yang-Mills Theory},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {apr},
            note = {PIRSA:23040071 see, \url{https://pirsa.org}}
          }

Lance Dixon

Stanford University

Talk number
PIRSA:23040071
Collection
Talk Type
Subject
Abstract

Scattering amplitudes are where quantum field theory directly meets collider experiments.  An excellent model for scattering in QCD is provided by N=4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors, where the theory becomes integrable.  The first nontrivial amplitude in this theory is for 6 gluons.  It can be computed to 7 loops using a bootstrap based on the rigidity of the function space of multiple polylogarithms, together with a few other conditions.  One can also bootstrap a particular form factor, for the chiral stress-tensor operator to produce 3 gluons, through 8 loops.  This form factor is the N=4 analog of the LHC process, gluon gluon --> Higgs + gluon. Remarkably, the two sets of results are related by a mysterious `antipodal' duality, which exchanges the role of branch cuts and derivatives.  Furthermore, this duality is `explained' by an antipodal self-duality of the 4 gluon form factor of the same operator; although it is still fair to say of the self-duality, `who ordered that?'

Zoom link:  https://pitp.zoom.us/j/96265005656?pwd=Qndza3pIKzdmZVJGL0s1ZUZkRmp4QT09