# Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space

## TL;DR

This paper develops a light-cone gauge superfield framework to derive all cubic interaction vertices for N=1 massless supermultiplets of arbitrary spin in four-dimensional flat space, including symmetry realizations.

## Contribution

It provides a comprehensive superfield formulation for cubic interactions of arbitrary spin N=1 supermultiplets, extending previous work to include all supermultiplet types and symmetry realizations.

## Key findings

- Derived superfield representations for all cubic vertices.
- Expressed cubic vertices in component fields.
- Realized Poincare superalgebra symmetries on interacting superfields.

## Abstract

In the framework of light-cone gauge formulation, massless arbitrary spin N=1 supermultiplets in four-dimensional flat space are considered. We study both the integer (super)spin and half-integer (super)spin supermultiplets. For such supermultiplets, formulation in terms of unconstrained light-cone gauge superfields defined on chiral momentum superspace is used. Superfield representation for all cubic interaction vertices of the supermultiplets is obtained. Representation of the cubic vertices in terms of component fields is derived. Realization of relativistic symmetries of N=1 Poincare superalgebra on space of interacting superfields is also found.