# Majorana Superfields

so apologies if this is a silly question...

In the type 1 see saw model we add extra Majorana fermions to our model. These fermions have to be total gauge singlets in order to have a Majorana mass term and thus trigger the see saw mechanism.

In a supersymmetric model we add gauge singlet superfields whose fermionic components are majorana. My question is regarding the scalar component of this superfield - is it real or complex?

I think it should be real as the superfield itself has to be a gauge singlet and thus the scalar field has no charge associated with it.

A complex scalar field can be neutral under a $U(1)$ symmetry. Because the $U(1)$ transformation, $$\phi\to\exp(iq\theta)\phi,$$ makes no sense if $\phi$ is a real field, all real scalar fields are necessarily neutral under a $U(1)$ symmetry; however, not all scalar fields that are neutral under a $U(1)$ are necessarily real fields.