Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space

TL;DR

This paper develops a light-cone gauge superfield formulation for interacting N=2 supermultiplets of arbitrary spin in 3D flat space, providing explicit cubic interaction vertices and superspace representations.

Contribution

It introduces a novel light-cone gauge superfield approach for N=2 supermultiplets, including both massive and massless cases, with explicit interaction vertices and dynamical generator representations.

Findings

Superfield formulation in momentum superspace for N=2 supermultiplets

Explicit cubic interaction vertices in superspace

Representation of dynamical generators in superspace

Abstract

Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N=2 Poincare superalgebra in three-dimensional flat space are considered. Both the integer spin and half-integer spin supermultiplets are studied. For such massive and massless supermultiplets, a formulation in terms of light-cone gauge unconstrained superfields defined in a momentum superspace is developed. For the supermultiplets under consideration a superspace first derivative representation for all cubic interaction vertices is obtained. A superspace representation for dynamical generators of the N=2 Poincare superalgebra is also found.