  We develop an alternative Ashtekar formalism in eight dimensions. In fact,
using a MacDowell-Mansouri physical framework and a self-dual curvature
symmetry we propose an action in eight dimensions in which the Levi-Civita
tenor with eight indices plays a key role. We explicitly show that such an
action contains number of linear, quadratic and cubic terms in the Riemann
tensor, Ricci tensor and scalar curvature. In particular, the linear term is
reduced to the Einstein-Hilbert action with cosmological constant in eight
dimensions. We prove that such a reduced action is equivalent to the Lovelock
action in eight dimensions.
