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How can I find (finite) superfield Kahler-Weyl transformations of superspace spinorial differential operators (usually denoted $\mathcal{D}_\alpha$ and $\bar{\mathcal{D}}_\dot{\alpha}$) in ${\cal N}=1$ matter coupled supergravity? Where $\alpha$ is Lorentz spinor index. Relevant references would be appreciated too.

I'm interested in superfield Kahler-Weyl invariance in general.

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