A Gauge Theory that mixes Bosonic and Fermionic Gauge Fields

Using a gauge symmetry derived by applying the Dirac constraint formalism to supergravity with cosmological term in 2+1 dimensions, we construct a gauge theory with many characteristics of Yang-Mills theory. The gauge transformation mixes two Bosonic fields and one Fermionic field

Ghosts from Ghosts in the BRST Formalism

We show that the Hamiltonian HQ introduced in the course of BRST analysis of a gauge theory may in fact be associated with an action that itself is gauge invariant. This action can then be treated using the BRST formalism. We illustrate this by considering the spinning particle and the first order Einstein-Hilbert action in 1 + 1 dimensions