AdS2 Quantum Gravity and String Theory

Abstract

AdS2 has an SL(2,R) isometry group. It is argued that in the context of quantum gravity on AdS2 this group is enlarged to the full infinite-dimensional 1+1 conformal group. Massive scalar fields are coupled to AdS2 gravity and shown to have associated conformal weights h(m) shifted by their mass. For integral values of h primary boundary operators are obtained as h normal derivatives of the scalar field. AdS2 string theories arise in the `very-near-horizon' limit of S1-compactified AdS3 string theories. This limit corresponds to energies far below the compactification scale. The dual conformal field theory has one null dimension and can in certain cases be described as the discrete light cone quantization of a two-dimensional deformed symmetric-product conformal field theory. Evidence is given that the AdS2 Virasoro algebra is related to the right-moving AdS3 Virasoro algebra by a topological twist which shifts the central charge to zero.

20 pages. v2: Reference added

Cited by in corpus (207)

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• Holographic Gravitational Anomalies
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• Stringy effects in black hole decay
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• Superconformal Mechanics and the Super Virasoro Algebra
• Exact solutions for scalars and spinors on quantized (Euclidean) $Ad{S}_2$ and the correspondence principle
• Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics
• Symmetry enhancement of extremal horizons in D=5 supergravity
• Asymptotic commutativity of quantized spaces: the case of ${\mathbb{CP}}^{p,q}$
• Geometry of Massless Scattering in Integrable Superstring
• String Theory in the Penrose Limit of AdS_2 x S^2
• Three point functions and the effective lagrangian for the chiral primary fields in D=4 supergravity on AdS2 x S2
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• Phase Transition in JT Gravity and $T\bar{T}$ Deformation
• Second Law of Black Hole Mechanics for all 2d Dilaton Theories
• Minisuperspace quantization of bubbling AdS${}_2\times$S${}^2$ geometries
• D=5 Simple Supergravity on AdS_2 \times S^3
• Holographic JT gravity with quartic couplings
• Classical Unattainability of Extremality in non-BPS D-brane Systems
• Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry I: A QM/NCG Correspondence
• Modular Intersections, Time Interval Algebras and Emergent AdS${}_2$
• Noncommutative $Ad{S}_2$ II: The Correspondence Principle
• The Hot Attractor Mechanism: Decoupling Without Deep Throats
• Comment on Counting Black Hole Microstates Using String Dualities
• A study of integrable form factors in massless relativistic $Ad{S}_2$
• Integrable models, degenerate horizons and AdS_2 black holes
• Massless vs. Massive Hawking Radiation in AdS${}_2$ Spacetime
• AdS black holes in two-dimensional dilaton gravity and holography
• One-loop effect in the charged 2D black hole near extremality
• On the Explicit Asymptotic Symmetry Breaking of sl(3,R) Jackiw-Teitelboim Gravity
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry II: Noncommutative Quantum Black Holes
• Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model
• Temperatures of AdS${}_2$ black holes and holography revisited
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
• A T-Fold Black Hole in Doubled Type IIB