Topological gravity localization on a delta-function like Brane

Details Topological gravity localization on a delta-function like Brane Topological gravity localization on a delta-function like Brane

2005-06-14

arxiv.org/abs/hep-th/0506119v1

Mod.Phys.Lett.A22:2939-2946,2007

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

10.1142/S0217732307023511

Besides the String Theory context, the quantum General Relativity can be studied by the use of constrained topological field theories. In the celebrated Plebanski formalism, the constraints connecting topological field theories and gravity are imposed in space-times with trivial topology. In the braneworld context there are two distinct regions of the space-time, namely, the bulk and the braneworld volume. In this work we show how to construct topological gravity in a scenario containing one extra dimension and a delta-function like 3-brane which naturally emerges from a spontaneously broken discrete symmetry. Starting from a D=5 theory we obtain the action for General Relativity in the Palatini form in the bulk as well as in the braneworld volume. This result is important for future insights about quantum gravity in brane scenarios.

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