(Super)(n)-energy for arbitrary fields and its interchange: Conserved quantities

Inspired by classical work of Bel and Robinson, a natural purely algebraic construction of super-energy (s-e) tensors for arbitrary fields is presente d, having good mathematical and physical properties. Remarkably, there appear quantities with mathematical characteristics of en ergy densities satisfying the dominant property, which provides s-e estimat es useful for global results and helpful in other matters. For physical fields, higher order (super)(n)-energy tensors involving the f ield and its derivatives arise. In special relativity, they provide infinit ely many conserved quantities. The interchange of s-e between different fields is shown. The discontinuity propagation law in Einstein-Maxwell fields is related to s-e tensors, prov iding quantities conserved along null hypersurfaces. Finally, conserved s-e currents are found for any minimally coupled scalar field whenever there i s a Killing vector.