Even-dimensional topological gravity from Chern-Simons gravity
High Energy Physics - Theory
2010-01-11 v1
Abstract
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 , 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).
Cite
@article{arxiv.0910.1470,
title = {Even-dimensional topological gravity from Chern-Simons gravity},
author = {Nelson Merino and Alfredo Perez and Patricio Salgado},
journal= {arXiv preprint arXiv:0910.1470},
year = {2010}
}