We formulate an interacting theory of a vector-spinor field that gauges anticommuting spinor charges \{ Q_\alpha{ }^I, Q_\beta{ }^J \} = 0 in arbitrary space-time dimensions. The field content of the system is (\psi_\mu{ }^{ \alpha I}, \chi^{ \alpha I J}, A_\mu{ }^I), where \psi_\mu{ }^{ \alpha I} is a vector-spinor in the adjoint representation of an arbitrary gauge group, and A_\mu{ }^I is its gauge field, while \chi^{ \alpha I J} is an extra spinor with antisymmetric adjoint indices I J. Amazingly, the consistency of the vector-spinor field equation is maintained, despite its non-trivial interactions.
Categories: hep-th