PIRSA:23040071

Video URL

https://pirsa.org/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 for Theoretical Physics. https://pirsa.org/23040071

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

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2023},
            month = {apr},
            note = {PIRSA:23040071 see, \url{https://scivideos.org/index.php/pirsa/23040071}}
          }

Lance Dixon Stanford University

Talk numberPIRSA:23040071
DOI10.48660/23040071
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
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