# Wilson lines for Rarita-Schwinger field

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The Rarita-Schwinger field is a field with a 1-form and a spinor index, $\psi_\mu^a$. It usually has a gauge symmetry $\delta \psi_\mu^a = \partial_\mu \eta^a$ parametrized by an arbitrary spinor $\eta^a$. I want to understand this field more like a gauge field. Does it have holonomy? Can I compute Wilson loops? Surface operators?

Is $\psi_\mu^a$ a connection in your Lagrangian?
@Jia Yes I should have called it $A^a_\mu$ or something (: It begins life as a tensor of a 1-form and a spinor, but then it has this gauge transformation that makes it only locally such a thing. It's like a spinor whose components are connections.
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