Geometrical Formulation of the BRST Transformations of Gauge-Affine Gravity

Fields and their BRST and anti-BRST transformations in gauge-affine gravity are determined by using a superspace formalism. The method is based on the introduction of a basis, instead of the natural one, for differential forms on a (4, 2)-dimensional superspace, whose body is a metric-affine spacetime. This basis is defined after having introduced the coordinate ghost and anti-ghost superfields from a Formula: see text-superconnection.