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Pure Lovelock gravity and Chern-Simons theory

2016, Dra. Rodríguez-Durán, Evelyn, Concha, P., Durka, R., Inostroza, C., Merino, N.

We explore the possibility of finding pure Lovelock gravity as a particular limit of a Chern-Simons action for a specific expansion of the AdS algebra in odd dimensions. We derive in detail this relation at the level of the action in five and seven dimensions. We provide a general result for higher dimensions and discuss some issues arising from the obtained dynamics.