In supersymmetry theory, consider $4d$ $N=1$ theory, we know that chiral superfield (In fundamental representation $\Phi \rightarrow e^{i\alpha} \Phi$) $\Phi$ and its lagrangian is given as \begin{align} \Phi^{\dagger}e^{2gV}\Phi \end{align}

I want to know the lagrangian for chiral superfield in adjoint representation.

Further, i know for $4d$ $N=1$ theory, fundamental representation of chiral superfield has $(\phi, \psi, F)$ How about the case for adjoint representation?
This post imported from StackExchange Physics at 20151105 09:44 (UTC), posted by SEuser phy_math