Abstract
Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N = 2 Poincaré 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 Poincaré superalgebra is also found.
Highlights
Massive arbitrary spin supermultiplets and massless supermultiplets of the N = 2 Poincaré 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
We introduced a classification for cubic interactions and, by using a first-derivative representation for cubic interactions, obtained the explicit expressions for all cubic interaction vertices
Our aim in this paper, is to provide a first-derivative superspace representation for all cubic interactions. To this end we use a light-cone momentum superspace and unconstrained light-cone gauge superfields defined in such superspace. It is the light-cone gauge unconstrained superfields we introduce in this paper that allow us to construct a simple superspace representation for all cubic interaction vertices of the supermultiplets under consideration
Summary
In view of simplicity and aesthetic features of field theories in three dimensions these theories have attracted a considerable interest during long period of time. By using light-cone gauge components fields, we review integer spin and half-integer spin massive and massless supermultiplets of the N = 2 Poincaré superalgebra. Realization of the N = 2 Poincaré superalgebra on space of supermultiplets will be discussed by using unconstrained light-cone gauge superfields. Making use of the (anti)commutators between the dynamical generators P −, Q−R,L, J −1 and the kinematical generators J +1, Q+R, we verify that the dependence of the densities g[n] (4.15) on the momenta pa and the Grassmann momenta pθa is realized through new momentum variables Pab and Pθ ab defined by the relations. We use a representative of cubic vertex which we refer to as first-derivative representation of the vertex
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