Field/source duality in topological field theories

Details Field/source duality in topological field theories Field/source duality in topological field theories

2007-02-13

arxiv.org/abs/hep-th/0702105v1

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 4 figures

Scientific paper

The relationship between the sources of physical fields and the fields themselves is investigated with regard to the coupling of topological information between them. A class of field theories that we call topological field theories is defined such that both the field and its source represent de Rham cocycles in varying dimensions over complementary subspaces and the coupling of one to the other is by way of an isomorphism of the those cohomology spaces, which we refer to as field/source duality. The deeper basis for such an isomorphism is investigated and the process is described for various elementary physical examples of topological field theories.

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