Superfield actions for N=8 and N=6 conformal theories in three dimensions

TL;DR

This paper develops manifestly supersymmetric pure spinor formulations for N=8 and N=6 conformal theories in three dimensions, providing new action principles and analyzing pure spinor structures.

Contribution

It introduces pure spinor formulations for N=8 and N=6 theories, including non-degenerate measures and action principles, advancing the understanding of supersymmetric models.

Findings

Pure spinor structures are thoroughly investigated.

Non-degenerate measures are constructed for both models.

Action principles are formulated using non-minimal variables.

Abstract

The manifestly supersymmetric pure spinor formulations of the Bagger-Lambert-Gustavsson models with N=8 supersymmetry and the Aharony-Bergman-Jafferis-Maldacena models with N=6 supersymmetry are given. The structures of the pure spinors are investigated in both cases, and non-degenerate measures are formed using non-minimal sets of variables, allowing for the formulation of an action principle.