On the Matter of N=2 Matter

TL;DR

This paper introduces new four-dimensional N=2 matter multiplets and develops a systematic framework for exploring N=2 matter theories, including novel Hypermultiplet sectors, with off-shell scalar and spinor fields.

Contribution

It presents new N=2 matter multiplets and constructs a supersymmetric action with off-shell scalar and spinor fields, expanding the understanding of N=2 matter theories.

Findings

New N=2 matter multiplets introduced

Supersymmetric actions developed for these multiplets

Off-shell realization with scalar and spinor fields achieved

Abstract

We introduce a variety of four-dimensional N = 2 matter multiplets which have not previously appeared explicitly in the literature. Using these, we develop a class of supersymmetric actions supplying a context for a systematic exploration of N = 2 matter theories, some of which include Hypermultiplet sectors in novel ways. We construct an N = 2 supersymmetric field theory in which the propagating fields are realized off-shell exclusively as Lorentz scalars and Weyl spinors and which involves a sector with precisely the R-charge assignments characteristic of Hypermultiplets.