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Homework Help: Wess Zumino model in two dimensions

  1. Jul 12, 2012 #1
    1. The problem statement, all variables and given/known data

    I need some help to describe a Wess Zumino model in two dimensions:
    spinors are real (because of the Majorana condition [itex]\theta=\theta^{\ast}[/itex]) and have two components;
    the superfield is:
    [itex] \phi \left( x,\theta\right)=A\left( x\right) + i\bar{\theta}\psi\left(x\right) +\frac{i}{2} \bar{\theta}\theta F\left(x\right)[/itex]
    A and F are scalars
    ψ is a spinorial field.
    The susy generator is:
    [itex]Q_{\alpha}=\frac{\partial}{\partial \bar{\theta}^{\alpha}} -i \left(\gamma^{\mu} \right) _{\alpha} \partial_{\mu}[/itex]

    1) What are the supersymmetry transformations of the fields?

    2) Which is the invariant action of the model?

    Thank you very much if you could give me some help!
  2. jcsd
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