Non-Abelian Gauge Groups and Hypermultiplets in Projective Superspaces

TL;DR

This paper develops off-shell superconformal actions for hypermultiplets coupled with non-Abelian gauge multiplets in three- and four-dimensional projective superspaces, advancing the understanding of supersymmetric gauge theories.

Contribution

It provides explicit constructions of superconformal actions and embeddings of N=2 multiplets into tropical multiplets in three- and four-dimensional projective superspaces.

Findings

Explicit off-shell superconformal actions constructed.

Embeddings of N=2 vector and chiral superfields into tropical multiplets.

Extension of the formalism to four-dimensional N=2 superspace.

Abstract

We construct off-shell superconformal actions of hypermultiplets coupled with non-Abelian gauge multiplets in three-dimensional N = 3 and N = 4 projective superspaces. We establish the explicit embeddings of the N = 2 vector and adjoint chiral superfields, that constitute the N = 4 gauge multiplets, into the tropical multiplets. We also construct the action in the four-dimensional N = 2 projective superspace.