Supersymmetric galileons and auxiliary fields in 2+1 dimensions

TL;DR

This paper explores supersymmetric higher-derivative field theories in 2+1 dimensions, classifies models without auxiliary field derivatives, and constructs a ghost-free supersymmetric Galileon model.

Contribution

It provides a classification of supersymmetric models without auxiliary field derivatives and introduces a ghost-free supersymmetric Galileon in three dimensions.

Findings

Scalar theories of the form P(X,φ) are classified.

A ghost-free supersymmetric Galileon model is constructed.

The auxiliary field problem is analyzed.

Abstract

In this work we study various aspects of supersymmetric three-dimensional higher-derivative field theories. We classify all possible models without derivative terms in the auxiliary field of the fermionic sector and find that scalar field theories of the form $P(X,\phi)$, where $X=-(\partial\phi)^2/2$, belong to this kind of models. A ghost-free supersymmetric extension of Galileon models is found in three spacetime dimensions. Finally, the auxiliary field problem is discussed.