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Action of a superfield?

  1. Jul 15, 2012 #1
    Consider the superfield phi in two dimensions
    [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]
    where the dimension of phi and A is zero (scalar field), the dimension of F is 1 (auxiliary field), the dimension of psi and theta is 1/2 (spinorial field).
    The spinor theta has two real component (majorana condition): theta1 and theta2.
    Which is the action for this superfield?
    The mass term is [itex] \int d^2 x d\theta_1 d\theta_2 m \phi^{2}[/itex]
    The cubic interaction term is [itex] \int d^2 x d\theta_1 d\theta_2 \lambda \phi^3[/itex]
    And the kinetic term?
    Please help me!
  2. jcsd
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