Compact U(1)xU(1) Model with Minimal Interspecies Interaction

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.