Deriving field theories for particles of arbitrary spin with and without supersymmetry

TL;DR

This paper reviews the derivation of light-cone interaction vertices for particles of any spin, explores their properties, and demonstrates how symmetry principles extend to supersymmetric theories like N=4 Yang-Mills and N=8 supergravity.

Contribution

It introduces a symmetry-based method for deriving interaction vertices for arbitrary spin particles and applies it to supersymmetric theories.

Findings

Interaction vertices for arbitrary spin particles are systematically derived.

Factorization properties of amplitudes are analyzed.

The approach is successfully extended to supersymmetric theories like N=4 Yang-Mills and N=8 supergravity.

Abstract

We review the derivation of light-cone interaction vertices for fermionic and bosonic fields of arbitrary spin. The resulting amplitudes and their factorization properties are discussed. We then show how this symmetry-based approach works for theories with extended supersymmetry like N=4 Yang-Mills theory and N=8 supergravity.