Aspects of Higher-Spin Theory with Fermions

Understand

The present thesis is divided into three parts.

• In Part I we address a problem within Higher-Spin Gauge Theory in dimension three: namely, that of computing the asymptotic symmetry algebra of supersymmetric models, describing an infinite spectrum of integer and half-integer higher-spin fields.
• In Part II we investigate higher-spin theories in dimension four or greater, where we classify the consistent cross interactions between free gauge fermions of arbitrary spin and a photon or a graviton.
• A third part supplements the bulk of the manuscript with technical appendices.