Interactions of a Continuous-Spin field with a spin-1/2 particle

A bstract We introduce a formalism for coupling a bosonic Continuous-Spin field to familiar spin-1/2 matter. To do this, we describe the matter using the supersymmetric worldline formalism. We construct currents that are local functions of worldline kinematics, and respect both the worldline supersymmetry and the conservation condition required for consistent couplings to Abelian CSP fields. As the spin Casimir ρ of the CSP vanishes, the interaction reduces to that of familiar QED in one case, and to a Yukawa interaction with a spin-1/2 particle in the other. Our formalism is applicable to computing deviations from QED if he photon is a CSP, thereby enabling a range of phenomenological studies.