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

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 non-vanishing 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 W_3-algebra.

8pp, v2: added footnotes and references

References in corpus (10)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Flat-Space Chiral Gravity
• Higher spin theory in 3-dimensional flat space
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Model for gravity at large distances
• Central Charge for AdS_2 Quantum Gravity
• Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
• Einstein-Yang-Mills theory : I. Asymptotic symmetries

Cited by in corpus (19)

• Models of AdS_2 Backreaction and Holography
• Menagerie of AdS${}_2$ boundary conditions
• Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
• Towards a bulk description of higher spin SYK
• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• Flat JT Gravity and the BMS-Schwarzian
• Towards higher-spin AdS${}_2$/CFT${}_1$ holography
• Aspects of AdS${}_2$ holography with non-constant dilaton
• On BF-type higher-spin actions in two dimensions
• Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity
• Flat space holography in spin-2 extended dilaton-gravity
• Comments on AdS_2 Gravity
• Schwarzian for colored Jackiw-Teitelboim gravity
• Color decorations of Jackiw-Teitelboim gravity
• AdS${}_3$/AdS${}_2$ degression of massless particles
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities
• A so(2,2) extension of JT gravity via the Virasoro-Kac-Moody semidirect product
• On the Explicit Asymptotic Symmetry Breaking of sl(3,R) Jackiw-Teitelboim Gravity
• AdS black holes in two-dimensional dilaton gravity and holography