### Resumen

We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to a Type-D solution space. The current Ansatz is based on internal semigroup algebras (without identity) generated by exponentials formed out of the bi-axial symmetry generators. After having switched on the vacuum gauge function, the resulting generalized Weyl tensor is given by a sum of generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the asymptotic AdS_{4} region, and the twistor space connection is smooth in twistor space over finite regions of spacetime. We provide evidence for that the linearized twistor space connection can be brought to Vasiliev gauge.

Idioma original | English |
---|---|

Número de artículo | 43 |

Publicación | Journal of High Energy Physics |

Volumen | 2017 |

N.º | 1 |

DOI | |

Estado | Published - 1 ene 2017 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

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*Journal of High Energy Physics*, vol. 2017, n.º 1, 43. https://doi.org/10.1007/JHEP01(2017)043

**New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity.** / Sundell, Per; Yin, Yihao.

Resultado de la investigación: Article

TY - JOUR

T1 - New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity

AU - Sundell, Per

AU - Yin, Yihao

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to a Type-D solution space. The current Ansatz is based on internal semigroup algebras (without identity) generated by exponentials formed out of the bi-axial symmetry generators. After having switched on the vacuum gauge function, the resulting generalized Weyl tensor is given by a sum of generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the asymptotic AdS4 region, and the twistor space connection is smooth in twistor space over finite regions of spacetime. We provide evidence for that the linearized twistor space connection can be brought to Vasiliev gauge.

AB - We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to a Type-D solution space. The current Ansatz is based on internal semigroup algebras (without identity) generated by exponentials formed out of the bi-axial symmetry generators. After having switched on the vacuum gauge function, the resulting generalized Weyl tensor is given by a sum of generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the asymptotic AdS4 region, and the twistor space connection is smooth in twistor space over finite regions of spacetime. We provide evidence for that the linearized twistor space connection can be brought to Vasiliev gauge.

KW - Higher Spin Gravity

KW - Higher Spin Symmetry

UR - http://www.scopus.com/inward/record.url?scp=85010916207&partnerID=8YFLogxK

U2 - 10.1007/JHEP01(2017)043

DO - 10.1007/JHEP01(2017)043

M3 - Article

AN - SCOPUS:85010916207

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 1

M1 - 43

ER -