Even-dimensional topological gravity from Chern-Simons gravity

Details Even-dimensional topological gravity from Chern-Simons gravity Even-dimensional topological gravity from Chern-Simons gravity

2009-10-08

arxiv.org/abs/0910.1470v1

Phys.Lett.B681:85-88,2009

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/j.physletb.2009.10.001

It is shown that the topological action for gravity in 2n-dimensions can be obtained from the 2n+1-dimensional Chern-Simons gravity genuinely invariant under the Poincare group. The 2n-dimensional topological gravity is described by the dynamics of the boundary of a 2n+1-dimensional Chern-Simons gravity theory with suitable boundary conditions. The field $\phi^{a}$, which is necessary to construct this type of topological gravity in even dimensions, is identified with the coset field associated with the non-linear realizations of the Poincare group ISO(d-1,1).

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