Large N Expansion From Fuzzy AdS_2

Abstract

We study the quantum analogue of primary fields and their descendants on fuzzy AdS_2, proposed in hep-th/0004072. Three-point vertices are calculated and shown to exhibit the conventional 1/N expansion as well as nonperturtive effects in large N, thus providing a strong consistency check of the fuzzy AdS_2 model. A few new physical motivations for this model are also presented.

20 pages, Latex

References in corpus (2)

• Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity
• Fuzzy Gravitons From Uncertain Spacetime

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• Non-Compact Hopf Maps and Fuzzy Ultra-Hyperboloids
• Dirac Operator on Fuzzy AdS_2
• Signature change in matrix model solutions
• Hyperbolic Supersymmetric Quantum Hall Effect
• Matrix Model Cosmology in Two Space-time Dimensions
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• Schwarzschild Geometry Emerging from Matrix Models
• Hidden classical symmetry in quantum spaces at roots of unity : From q-sphere to fuzzy sphere
• Non-commutative $Ad{S}_2/CF{T}_1$ duality: the case of massive and interacting scalar fields
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• Noncommutative Static Strings from Matrix Models
• Exact solutions for scalars and spinors on quantized (Euclidean) $Ad{S}_2$ and the correspondence principle
• Quantized Noncommutative Geometry from Multitrace Matrix Models
• Asymptotic commutativity of quantized spaces: the case of ${\mathbb{CP}}^{p,q}$
• Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis
• Dielectric D0-Branes in Near-Horizon D-Brane Backgrounds and D-Strings under Electric RR Fluxes
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry I: A QM/NCG Correspondence
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry II: Noncommutative Quantum Black Holes
• Deformation of Matrix Geometry via Landau Level Evolution