Connection versus metric description for non-AdS solutions in higher-spin theories

@article{Lei2015ConnectionVM,
  title={Connection versus metric description for non-AdS solutions in higher-spin theories},
  author={Y. Lei and S. Ross},
  journal={Classical and Quantum Gravity},
  year={2015},
  volume={32},
  pages={185005}
}
  • Y. Lei, S. Ross
  • Published 2015
  • Physics
  • Classical and Quantum Gravity
  • We consider recently-constructed solutions of three-dimensional ${SL}(N,{\mathbb{R}})\times {SL}(N,{\mathbb{R}})$ Chern–Simons theories with non-relativistic symmetries. Solutions of the Chern–Simons theories can generically be mapped to solutions of a gravitational theory with a higher-spin gauge symmetry. However, we will show that some of the non-relativistic solutions are not equivalent to metric solutions, as this mapping fails to be invertible. We also show that these Chern–Simons… CONTINUE READING

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 38 REFERENCES
    Asymptotic $ \mathcal{W} $-symmetries in three-dimensional higher-spin gauge theories
    155
    Black holes and singularity resolution in higher spin gravity
    99
    Spacetime geometry in higher spin gravity
    156
    Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach
    31
    Lifshitz black holes in higher spin gravity
    33
    An AdS_3 Dual for Minimal Model CFTs
    408
    Black holes in three dimensional higher spin gravity: a review
    590
    Metric- and frame-like higher-spin gauge theories in three dimensions
    21