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Partially massless theory in three dimensions and self-dual massive gravity

Centro de Física Fundamental, Departamento de Física, Facultad de Ciencias, Universidad de Los Andes, Mérida 5101, Venezuela

E-mail Address: danielgalviz@uni-bonn.de

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Adel Khoudeir

Centro de Física Fundamental, Departamento de Física, Facultad de Ciencias, Universidad de Los Andes, Mérida 5101, Venezuela

E-mail Address: adel@ula.ve

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https://doi.org/10.1142/S0217732318500670Cited by:2 (Source: Crossref)

Abstract

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on (A)dS background. This fact can be generalized to higher dimensions. This degree of freedom is altered when a triadic Chern–Simons is introduced, giving rise to the self-dual massive gravity on (A)dS background. We present another physical system with partially massless symmetry and its connection with topologically massive gravity is discussed.

Keywords:

PACS: 04.60.Rt, 04.20-q, 04.20.Fy

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