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Pure Lovelock gravity and Chern-Simons theory

Patrick ConchaDepartamento de Ciencias, Facultad de Artes Liberales y Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avenida Padre Hurtado 750, Viña del Mar, ChileR. DurkaInstituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, ChileCarlos InostrozaDepartamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, ChileNelson MerinoInstituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, ChileEvelyn RodríguezDepartamento de Ciencias, Facultad de Artes Liberales y Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avenida Padre Hurtado 750, Viña del Mar, Chile
2016en
ABI

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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.

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