Models of AdS_2 Backreaction and Holography

Abstract

We develop models of 1+1 dimensional dilaton gravity describing flows to $Ad{S}_2$ from higher dimensional $AdS$ and other spaces. We use these to study the effects of backreaction on holographic correlators. We show that this scales as a relevant effect at low energies, for compact transverse spaces. We also discuss effects of matter loops, as in the CGHS model.

20 pages. v2: additional references on AdS_2 magnetic branes and flows. v3: correction to entropy, other minor corrections

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• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Hall conductivity from dyonic black holes
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• Anti-de Sitter holography for gravity and higher spin theories in two dimensions

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