ABC of N=8, d=1 supermultiplets

TL;DR

This paper constructs and describes various off-shell N=8, d=1 supermultiplets using constrained N=4 superfields, providing superspace formulations and invariant actions, including superconformal ones.

Contribution

It introduces new off-shell N=8, d=1 supermultiplets as sums of N=4 superfields and develops their superspace descriptions, some derived from higher-dimensional theories.

Findings

Constructed multiple off-shell N=8, d=1 supermultiplets.

Developed superspace formulations with manifest supersymmetry.

Provided invariant superfield actions, including superconformal invariants.

Abstract

We construct a variety of off-shell $N{=}8, d{=}1$ supermultiplets with finite numbers of component fields as direct sums of properly constrained $N{=}4, d{=}1$ superfields. We also show how these multiplets can be described in $N{=}8, d{=}1$ superspace where the whole amount of supersymmetry is manifest. Some of these multiplets can be obtained by dimensional reduction {}from $N{=}2$ multiplets in $d{=}4$, whereas others cannot. We give examples of invariant superfield actions for the multiplets constructed, including $N{=}8$ superconformally invariant ones.