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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:

[itex]\phi[/itex][itex]\left(x,\theta \right)[/itex]= A(x) + i [itex]\bar{\theta}[/itex] [itex]\psi[/itex](x) + [itex]\frac{1}{2}[/itex] i [itex]\bar{\theta}[/itex] 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[itex]_{\alpha}[/itex] = [itex]\frac{\partial}{\partial \bar{\theta^{\alpha}}}[/itex] - i ([itex]\gamma_{\mu} \theta[/itex] )[itex]_{\alpha}[/itex] [itex]\partial[/itex][itex]_{\mu}[/itex]

2) Which is the invariant action of the model?

Thank you very much if you could give me some help!

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# Wess Zumino model in two dimentions

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