Wilson loops as defects in N=2 conformal field theories

Abstract

In this thesis we consider four dimensional N=2 superconformal field theories, in presence of line defects such as Wilson loops. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation value of the Wilson loop, correlation functions with chiral operators and the emitted radiation of the charged particle moving along the Wilson loop trajectory. These results are achieved by exploiting the localized matrix model on a four sphere, and checked against a perturbative computation on the flat space in N=1 superspace formalism, up to four loops in perturbation theory.

214 pages, several figures, PhD thesis based on arXiv:1802.09813, arXiv:1906.07085, arXiv:1910.06332

References in corpus (5)

• Small deformations of supersymmetric Wilson loops and open spin-chains
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• Cusped SYM Wilson loop at two loops and beyond