Hawking Radiation and Quantum Anomaly in AdS2/CFT1 Correspondence

Abstract

In order to understand a boundary description of Hawking radiation in the AdS/CFT correspondence, we investigate the trace anomaly method in AdS${}_2$ space. In this method, Hawking radiation is derived from the trace anomaly of the energy-momentum tensor in the bulk. We find a correspondence between the energy-momentum tensor and a composite operator in CFT${}_1$ and understand the anomalous properties of the energy-momentum tensor in terms of this composite operator. By using this correspondence, we reproduce Hawking radiation from the boundary description. In addition, we find a correspondence between higher-spin currents in the bulk and composite operators in the boundary.

14 pages, 1 figure, published version

References in corpus (34)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• The Black Hole in Three Dimensional Space Time
• Eternal Black Holes in AdS
• Holographic representation of local bulk operators
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Holographic Probes of Anti-de Sitter Spacetimes
• Relationship between Hawking Radiation and Gravitational Anomalies
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• AdS Dynamics from Conformal Field Theory
• AdS2 Quantum Gravity and String Theory
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Local bulk operators in AdS/CFT: A holographic description of the black hole interior
• Vacuum States for AdS_2 Black Holes
• Hawking Radiation and Covariant Anomalies
• Hawking Radiation from General Kerr-(anti)de Sitter Black Holes
• Entropy Function and AdS(2)/CFT(1) Correspondence
• What Do CFTs Tell Us About Anti-de Sitter Spacetimes?
• Gauge and Gravitational Anomalies and Hawking Radiation of Rotating BTZ Black Holes
• Holographic Description of AdS_2 Black Holes
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Higher-spin Currents and Thermal Flux from Hawking Radiation
• Fluxes of Higher-spin Currents and Hawking Radiations from Charged Black Holes
• Hawking Radiation via Higher-spin Gauge Anomalies
• Holographic Normal Ordering and Multi-particle States in the AdS/CFT Correspondence
• Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence
• Hawking radiation, W-infinity algebra and trace anomalies
• Hawking Fluxes, $W_{\infty }$ Algebra and Anomalies
• Near-horizon limit of the charged BTZ black hole and AdS_2 quantum gravity
• Higher-spin Gauge and Trace Anomalies in Two-dimensional Backgrounds
• Hawking Radiation, Gravitational Anomaly and Conformal Symmetry - the Origin of Universality -

Cited by in corpus (12)

• Connecting anomaly and tunneling methods for Hawking effect through chirality
• Hawking radiation via anomaly cancelation for the black holes of five-dimensional minimal gauged supergravity
• Hawking fluxes, Fermionic currents, W(1+infinity) algebra and anomalies
• 2D Gravity on $Ad{S}_2$ with Chern-Simons Corrections
• Modification of Gravitational Anomaly Method in Hawking Radiation
• De Sitter Invariant Vacuum States, Vertex Operators, and Conformal Field Theory Correlators
• Chiral density waves in quarkyonic matter
• Hawking Radiation of Fermionic Field and Anomaly in 2+1 Dimensional Black Holes
• Composition of fluctuations of different observables
• Back reaction, covariant anomaly and effective action
• Vacuum for a massless quantum scalar field outside a collapsing shell in anti-de Sitter space-time
• Penguin amplitudes in B^+ to pi^+ K^*0, K^+ \bar{K}^*0 decays