Higher spin fluctuations on spinless 4D BTZ black hole

Rodrigo Aros, Carlo Iazeolla, Per Sundell, Yihao Yin

Resultado de la investigación: Article

1 Cita (Scopus)

Resumen

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) -invariant of which U(1)K is broken by momenta on S1 and U (1) by quasi-normal modes. We show that a set of U (1) -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.

Idioma originalEnglish
Número de artículo171
PublicaciónJournal of High Energy Physics
Volumen2019
N.º8
DOI
EstadoPublished - 1 ago 2019

Huella dactilar

momentum
K stars
ground state
geometry
acceleration (physics)
harmonic oscillators
bundles
topology
oscillators
gravitation
membranes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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title = "Higher spin fluctuations on spinless 4D BTZ black hole",
abstract = "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 Ba{\~n}ados-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.",
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Higher spin fluctuations on spinless 4D BTZ black hole. / Aros, Rodrigo; Iazeolla, Carlo; Sundell, Per; Yin, Yihao.

En: Journal of High Energy Physics, Vol. 2019, N.º 8, 171, 01.08.2019.

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

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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 -