Wess Zumino model in two dimentions

1. Jul 6, 2012

alialice

Hi!
I need some help to describe a Wess Zumino model in two dimensions: spinors are real (because of the Majorana condition) and the superfield is:
$\phi$$\left(x,\theta \right)$= A(x) + i $\bar{\theta}$ $\psi$(x) + $\frac{1}{2}$ i $\bar{\theta}$ θ F(x)
where:
A and F are scalar
ψ is a spinorial field
1) What are the supersymmetry transformations of the fields?
The susy generator is:
Q$_{\alpha}$ = $\frac{\partial}{\partial \bar{\theta^{\alpha}}}$ - i ($\gamma_{\mu} \theta$ )$_{\alpha}$ $\partial$$_{\mu}$
2) Which is the invariant action of the model?
Thank you very much if you could give me some help!

2. Jul 6, 2012

alialice

or do you know a reference where I can found this?

3. Jul 12, 2012

alialice

Is there someone who knows how to calculate the susy transformations please?