Abstract
We construct a two-dimensional action principle invariant under a spin-three extension of BMS3 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, ℝ) × sl(3, 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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ArXiv ePrint: 1403.4898
Laurent Houart postdoctoral fellow. (Hernán A. González)
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González, H.A., Pino, M. Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields.. J. High Energ. Phys. 2014, 127 (2014). https://doi.org/10.1007/JHEP05(2014)127
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DOI: https://doi.org/10.1007/JHEP05(2014)127