Aspects of superconformal symmetry

TL;DR

This thesis explores classical superconformal field theories using symmetry principles, leading to new insights in geometric, higher symmetries, superconformal higher-spin theory, and conformal supergravity.

Contribution

It introduces novel results in superconformal symmetry, geometric structures, and higher-spin theories using conformal superspace methods.

Findings

New results in geometric and higher symmetries

Advances in superconformal higher-spin theory

Progress in conformal supergravity

Abstract

In this thesis we study classical aspects of superconformal field theory via symmetry principles. Specifically, by employing the powerful setup of conformal superspace, we obtain a plethora of new results in the fields of geometric and higher symmetries, (super)conformal higher-spin theory and conformal supergravity. These findings open up numerous novel research pathways.