  Starting with a supersymmetric U(N)xU(N) gauge theory built in N=1
superspace, a nonsupersymmetric theory is obtained by ``twisting'' the gauginos
into a different representation of the group than the gauge bosons. Despite the
fact that this twisting breaks supersymmetry, it is still possible to construct
an action that is holomorphic and invariant to local ``twisted'' gauge
transformations in superspace. It is conjectured that these two properties may
allow the theory to be free of quadratic divergences to all orders, despite a
lack of supersymmetry. An explicit calculation shows that the theory is free of
quadratic divergences to at least the two-loop order.
