D=4 supergravity dynamically coupled to a massless superparticle in a superfield Lagrangian approach

TL;DR

This paper develops a superfield Lagrangian framework for D=4 N=1 supergravity coupled to a massless superparticle, deriving equations of motion and analyzing gauge symmetries, with potential simplifications to bosonic particle coupling.

Contribution

It introduces a superfield approach to coupled supergravity and superparticle systems, deriving comprehensive equations of motion and exploring gauge fixing procedures.

Findings

Derived superfield equations of motion with source terms

Constructed current density from supergravity prepotentials

Showed gauge fixing reduces to supergravity-bosonic particle system

Abstract

We consider the interacting system of D=4 N=1 supergravity and the Brink-Schwarz massless superparticle as described by the sum of their superfield actions, and derive the complete set of superfield equations of motion for the coupled dynamical system. These include source terms given by derivatives of a vector superfield current density with support on the worldline. This current density is constructed from the spin 3/2 and spin 2 current density `prepotentials'. We analyze the gauge symmetry of the coupled action and show that it is possible to fix the gauge in such a way that the equations of motion reduce to those of the supergravity-bosonic particle coupled system.