  We introduce a minimally interacting pure gauge compact U(1)xU(1) model
consistent with abelian projection symmetries. This paradigm, whose
interactions are entirely due to compactness, illustrates how compactness can
contribute to interspecies interactions. Furthermore, it has a much richer
phase structure(including a magnetically confining phase) than obtained by
naively tensoring together two compact U(1) copies.
