Speaker
Alfredo Bonini
(BO)
Description
N=4 Super Yang-Mills is a supersymmetric and conformal gauge
theory with remarkable properties. Among them, its duality with a IIB
string theory
in the AdS5xS5 background and the correspondence between null
polygonal Wilson loops and gluon scattering amplitudes. Even more
surprisingly, some integrable
features pop up when computing a certain class of observables in the
theory. For instance, the anomalous dimension of the gauge invariant
operators admits
a spin chain description where the application of many techniques
belonging to integrable systems is possible. As for the null polygonal
Wilson
loops, a non-perturbative approach employing the integrability of the
theory has been proposed and tested in the last few years. In this
respect, we have
found some results in the strong coupling regime, on the one side
reproducing the minimal area computation for the classical string and
on the other side
analytically proving a previously proposed quantum correction of the
same order. A parallel bewteen the fermionic contribution to the
Wilson loop and the
Nekrasov instanton partition function is proposed. Furthermore, we
partially unravelled the matrix structure of the pentagon transition,
giving a
description in terms of Young tableaux.
