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Wess Zumino model in two dimentions

  1. Jul 6, 2012 #1
    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:
    [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! :smile:
     
  2. jcsd
  3. Jul 6, 2012 #2
    or do you know a reference where I can found this?
     
  4. Jul 12, 2012 #3
    Is there someone who knows how to calculate the susy transformations please?
     
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