Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: (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 tensors for arbitrary fields is presented, having
good mathematical and physical properties. Remarkably, there appear quantities
with mathematical characteristics of energy densities satisfying the dominant
property, which provides super-energy estimates useful for global results and
helpful in other matters. For physical fields, higher order (super)^n-energy
tensors involving the field and its derivatives arise. In Special Relativity,
they provide infinitely many conserved quantities. The interchange of
super-energy between different fields is shown. The discontinuity propagation
law in Einstein-Maxwell fields is related to super-energy tensors, providing
quantities conserved along null hypersurfaces. Finally, conserved super-energy
currents are found for any minimally coupled scalar field whenever there is a
Killing vector.

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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
2
The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg