Flux Tubes, Integrability and the S-matrix of N=4 SYM

          @misc{ pirsa_PIRSA:11080042,
            doi = {10.48660/11080042},
            url = {https://pirsa.org/11080042},
            author = {Sever, Amit},
            keywords = {},
            language = {en},
            title = {Flux Tubes, Integrability and the S-matrix of N=4 SYM},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {aug},
            note = {PIRSA:11080042 see, \url{https://pirsa.org}}
          }
          

Abstract

An object which has been under attack from several fronts is the planar S-matrix of N=4 SYM. One approach towards addressing the computation of scattering amplitudes using integrability is by using an analogues of an Operator Product Expansion for these observables. It is a very general expansion that is based on the dual conformal symmetry of the amplitudes or their dual description in terms of null polygon Wilson loops. In this expansion the Wilson loop/amplitude is viewed as a transition amplitude for flux tube excitations. The flux tube in question is the color flux stretched between two fast moving quarks and the excitation are the excitations of that color flux. In the planar limit, it has an holographic description in terms of a two dimensional world sheet, known as the GKP string. For N=4 SYM, the dynamics of the flux excitation is integrable to all loops.