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arXiv · 1811.05435

4D spin-2 fields from 5D Chern-Simons theory

N. L. González Albornoz·Dieter Lust·S. Salgado·Angnis Schmidt-May
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Abstract

We consider a 5-dimensional Chern-Simons gauge theory for the isometry group of Anti-de-Sitter spacetime, $\operatorname{AdS}_{4+1}\simeq\operatorname{SO}(4,2)$, and invoke different dimensional reduction schemes in order to relate it to 4-dimensional spin-2 theories. The AdS gauge algebra is isomorphic to a parametrized 4-dimensional conformal algebra, and the gauge fields corresponding to the generators of non-Abelian translations and special conformal transformations reduce to two vierbein fields in $D=4$. Besides these two vierbeine, our reduction schemes leave only the Lorentz spin connection as an additional dynamical field in the 4-dimensional theories. We identify the corresponding actions as particular generalizations of Einstein-Cartan theory, conformal gravity and ghost-free bimetric gravity in first-order form.

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N. L. González Albornoz, Dieter Lust, S. Salgado, Angnis Schmidt-May. 2018-11-13. 4D spin-2 fields from 5D Chern-Simons theory. https://doi.org/10.1007/jhep12(2018)026

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