Abstract
We construct simple solutions of three-dimensional higher spin gravity interacting with matter in which only the scalar and spin-two fields are excited. They preserve Lorentz symmetry and are similar to the four-dimensional solutions constructed by Sezgin and Sundell, with the difference that the additional twisted sectors of the three-dimensional theory are excited. Furthermore, the three-dimensional system contains an extra parameter λ which allows us to vary the mass of the scalar. Among other reasons, the resulting solutions are interesting for the holographic study of cosmological singularities: they describe the growth of a Coleman-De Luccia bubble in anti-de Sitter space, ending in a big crunch singularity. We initiate the holographic study of these solutions, finding evidence for their interpretation within a multi-trace deformation which renders the dual field theory unstable. The limit λ → 0 is particularly interesting as it captures effects of a running coupling in a large-N interacting fermion model. We also propose a generalization of our solutions, consisting of a dressing with Lorentz-invariant projectors. This additional sector remains non-trivial when the scalar field is turned off.
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Iazeolla, C., Raeymaekers, J. On big crunch solutions in Prokushkin-Vasiliev theory. J. High Energ. Phys. 2016, 177 (2016). https://doi.org/10.1007/JHEP01(2016)177
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DOI: https://doi.org/10.1007/JHEP01(2016)177