(Super)gravity and Yang-Mills Theories as Generalized Topological Fields with Constraints

Details (Super)gravity and Yang-Mills Theories as Generalized Topological Fields with Constraints (Super)gravity and Yang-Mills Theories as Generalized Topological Fields with Constraints

2003-10-15

arxiv.org/abs/hep-th/0310141v1

Phys.Rev. D70 (2004) 044045

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

10.1103/PhysRevD.70.044045

We present a general approach to construct a class of generalized topological field theories with constraints by means of generalized differential calculus and its application to connection theory. It turns out that not only the ordinary BF formulations of general relativity and Yang-Mills theories, but also the N=1,2 chiral supergravities can be reformulated as these constrained generalized topological field theories once the free parameters in the Lagrangian are specially chosen. We also show that the Chern-Simons action on the boundary may naturally be induced from the generalized topological action in the bulk, rather than introduced by hand.

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