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Holography of New Conformal Higher Spin Gravities in 3d

2023/12/19 by Iva Lovreković, Lovrekovic, I.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2312.12301

openalex publication_date 2023/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the holography of the new conformal higher spin theories imposing general boundary conditions and the near horizon boundary conditions. General boundary conditions lead to the asymptotic symmetry algebra which is a loop algebra of the underlying gauge algebra. The near horizon boundary conditions give u(1) currents at the boundary. For each of the boundary conditions we consider an example of conformal graviton, and its combination with a vector, and a spin-3 field, respectively. The near horizon boundary conditions lead to three dimensional Banados-Teitelboim- Zanelli (BTZ)-like black hole which can have up to four real eigenvalues, Lobachevsky solution, and to generalisation of that BTZ-like solution.

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