rho-supermanifolds and the Clifford bundle

Abstract

Let T(E_p) be the body of the supertangent bundles T(E) and T(E) , where E is a ρ-supermanifold. Let T_xM be the tangent space to the Lorentzian manifold M at x ∈ M. In the case m = n = 4, where m and n are the integers labelling the associated superspace, we identify T_xE_p with T_xM and proceed to construct a Clifford bundle of algebras on the tangent space of the body of the supertangent bundle.

Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 31-36