Jonas Marschner (HU Berlin)

Title: Bootstrapping the four-point-function in N=4 Super Yang-Mills theory with Wilson-line defect

Abstract:

Knowledge about the symmetries of a physical system can help finding the solution of the system, e.g. radial symmetry for a charge density or periodicity in solids. But it also makes sense to study models with a large number of symmetries not manifest in physical reality. Those models lend themeselves to a rich field of mathematics and physics, as they allow us to find explicit results not available in models close to reality. In my master’s thesis I study such quantum field theory, namely N=4 Super Yang-Mills theory with Wilson-line defect, as it is suitable for the study of conformal and supersymmetry. I will show you the progress I have made so far in the calculation of a correlator of four operator insertions on the Wilson-line using superconformal bootstrap methods as well as explicit perturbative computations. This approach both exploits the strong constraints from symmetry and the computability of perturbation theory. I will point out some peculiarities of the one-loop computation, as well as checks of my results coming from conformal symmetry.