### Resumen

We construct linearized solutions to Vasiliev’s four-dimensional higher spin gravity on warped AdS_{3} ×_{ξ}S^{1} which is an Sp(2) × U(1) invariant non-rotating BTZ-like black hole with ℝ^{2} × T^{2} topology. The background can be obtained from AdS_{4} by means of identifications along a Killing boost K in the region where ξ^{2} ≡ K^{2} ≥ 0, or, equivalently, by gluing together two Bañados-Gomberoff-Martinez eternal black holes along their past and future space-like singularities (where ξ vanishes) as to create a periodic (non-Killing) time. The fluctuations are constructed from gauge functions and initial data obtained by quantizing inverted harmonic oscillators providing an oscillator realization of K and of a commuting Killing boostK˜. The resulting solution space has two main branches in which K star commutes and anti-commutes, respectively, to Vasiliev’s twisted-central closed two-form J. Each branch decomposes further into two subsectors generated from ground states with zero momentum on S^{1}. We examine the subsector in which K anti-commutes to J and the ground state is U (1) _{K}× U (1) _{K˜}-invariant of which U(1)_{K} is broken by momenta on S1 and U (1) _{K˜} by quasi-normal modes. We show that a set of U (1) _{K˜} -invariant modes (with n units of S^{1} momenta) are singularity-free as master fields living on a total bundle space, although the individual Fronsdal fields have membrane-like singularities at K˜ ^{2}= 1. We interpret our findings as an example where Vasiliev’s theory completes singular classical Lorentzian geometries into smooth higher spin geometries.

Idioma original | Inglés |
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Número de artículo | 171 |

Publicación | Journal of High Energy Physics |

Volumen | 2019 |

N.º | 8 |

DOI | |

Estado | Publicada - 1 ago 2019 |

### Áreas temáticas de ASJC Scopus

- Física nuclear y de alta energía

## Huella Profundice en los temas de investigación de 'Higher spin fluctuations on spinless 4D BTZ black hole'. En conjunto forman una huella única.

## Citar esto

*Journal of High Energy Physics*,

*2019*(8), [171]. https://doi.org/10.1007/JHEP08(2019)171