Anti–de Sitter holography for gravity and higher spin theories in two dimensions

2013/11/30 by Daniel Grumiller, Mauricio Leston, Dmitri Vassilevich · 29 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Anti-de Sitter space #Black Holes and Theoretical Physics #Boundary (topology) #Cellular algebra #Central charge #Conformal map #Cosmology and Gravitation Theories #De Sitter universe #Dilaton #Geometry #Holography #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Spin (aerodynamics) #Symmetry (geometry) #Theoretical physics #Universe #Virasoro algebra #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.89.044001

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 89(4) (American Physical Society) · 8pp, v2: added footnotes and references

arxiv created 2013/12/16 · openalex publication_date 2014/02/05 · arxiv updated 2014/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We provide a holographic description of two-dimensional dilaton gravity with anti--de Sitter boundary conditions. We find that the asymptotic symmetry algebra consists of a single copy of the Virasoro algebra with nonvanishing central charge and point out difficulties with the standard canonical treatment. We generalize our results to higher spin theories and thus provide the first examples of two-dimensional higher spin gravity with holographic description. For spin-3 gravity we find that the asymptotic symmetry algebra is a single copy of the W₃ algebra.

Citations

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• Conformal Field Theory
• The large N limit of superconformal field theories and supergravity