Supersymmetric galileons and auxiliary fields in 2+1 dimensions

Understand

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.