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arXiv · 1403.4898

Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields

Hernan A. Gonzalez·Miguel Pino
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Abstract

We construct a two-dimensional action principle invariant under a spin-three extension of BMS$_3$ group. Such a theory is obtained through a reduction of Chern-Simons action with a boundary. This procedure is carried out by imposing a set of boundary conditions obtained from asymptotically flat spacetimes in three dimensions. When implementing part of this set, we obtain an analog of chiral WZW model based on a contraction of $sl(3,\mathbb{R}) \times sl(3,\mathbb{R})$. The remaining part of the boundary conditions imposes constraints on the conserved currents of the model, which allows to further reduce the action principle. It is shown that a sector of this latter theory is related to a flat limit of Toda theory.

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BibTeXRIS

Hernan A. Gonzalez, Miguel Pino. 2014-03-27. Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields. https://doi.org/10.1007/jhep05(2014)127

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