Self-Duality and New TQFTs for Forms

Details Self-Duality and New TQFTs for Forms Self-Duality and New TQFTs for Forms

1998-05-19

arxiv.org/abs/hep-th/9805122v1

JHEP 9806 (1998) 006

Physics

High Energy Physics

High Energy Physics - Theory

teX-file

Scientific paper

10.1088/1126-6708/1998/06/006

We discuss theories containing higher-order forms in various dimensions. We explain how Chern--Simons-type theories of forms can be defined from TQFTs in one less dimension. We also exhibit new TQFTs with interacting Yang--Mills fields and higher--order forms. They are obtained by the dimensional reduction of TQFTs whose gauge functions are free self-duality equations. Interactions are due to the gauging of global internal symmetries after dimensional reduction. We list possible symmetries and give a brief discussion on the possible relation of such systems to interacting field theories.

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