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arXiv · 1905.00971

The $Λ$-BMS$_4$ group of dS$_4$ and new boundary conditions for AdS$_4$

Geoffrey Compère·Adrien Fiorucci·Romain Ruzziconi
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Abstract

Using the dictionary between Bondi and Fefferman-Graham gauges, we identify the analogues of the Bondi news, Bondi mass and Bondi angular momentum aspects at the boundary of generic asymptotically locally (A)dS$_4$ spacetimes. We introduce the $Λ$-BMS$_4$ group as the residual symmetry group of the metric in Bondi gauge after boundary gauge fixing. This group consists of infinite-dimensional non-abelian supertranslations and superrotations and it reduces in the asymptotically flat limit to the extended BMS$_4$ group. Furthermore, we present new boundary conditions for asymptotically locally AdS$_4$ spacetimes which admit $\mathbb R$ times the group of area-preserving diffeomorphisms as the asymptotic symmetry group. The boundary conditions amount to fix 2 components of the holographic stress-tensor while allowing 2 components of the boundary metric to fluctuate. They correspond to a deformation of a holographic CFT$_3$ which is coupled to a fluctuating spatial metric of fixed area.

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Geoffrey Compère, Adrien Fiorucci, Romain Ruzziconi. 2023-02-10. The $Λ$-BMS$_4$ group of dS$_4$ and new boundary conditions for AdS$_4$. https://doi.org/10.1088/1361-6382%2Fab3d4b

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