### 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 | English |
---|---|

Número de artículo | 171 |

Publicación | Journal of High Energy Physics |

Volumen | 2019 |

N.º | 8 |

DOI | |

Estado | Published - 1 ago 2019 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Journal of High Energy Physics*,

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

}

*Journal of High Energy Physics*, vol. 2019, n.º 8, 171. https://doi.org/10.1007/JHEP08(2019)171

**Higher spin fluctuations on spinless 4D BTZ black hole.** / Aros, Rodrigo; Iazeolla, Carlo; Sundell, Per; Yin, Yihao.

Resultado de la investigación: Article

TY - JOUR

T1 - Higher spin fluctuations on spinless 4D BTZ black hole

AU - Aros, Rodrigo

AU - Iazeolla, Carlo

AU - Sundell, Per

AU - Yin, Yihao

PY - 2019/8/1

Y1 - 2019/8/1

N2 - We construct linearized solutions to Vasiliev’s four-dimensional higher spin gravity on warped AdS3 ×ξS1 which is an Sp(2) × U(1) invariant non-rotating BTZ-like black hole with ℝ2 × T2 topology. The background can be obtained from AdS4 by means of identifications along a Killing boost K in the region where ξ2 ≡ K2 ≥ 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 S1. 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 S1 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.

AB - We construct linearized solutions to Vasiliev’s four-dimensional higher spin gravity on warped AdS3 ×ξS1 which is an Sp(2) × U(1) invariant non-rotating BTZ-like black hole with ℝ2 × T2 topology. The background can be obtained from AdS4 by means of identifications along a Killing boost K in the region where ξ2 ≡ K2 ≥ 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 S1. 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 S1 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.

KW - Black Holes

KW - Higher Spin Gravity

KW - Higher Spin Symmetry

UR - http://www.scopus.com/inward/record.url?scp=85071765610&partnerID=8YFLogxK

U2 - 10.1007/JHEP08(2019)171

DO - 10.1007/JHEP08(2019)171

M3 - Article

AN - SCOPUS:85071765610

VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

M1 - 171

ER -