Microstate Dependence of Scattering from the D1-D5 System

Abstract

We investigate the question of distinguishing between different microstates of the D1-D5 system (with charges Q_1 and Q_5), by scattering with an incoherent beam, composed of a supergravity probe, with central energy E_0 and width (ΔE). The scattering is studied in the dual CFT description in the orbifold limit for finite R, where R is the radius of the circle on which the D1 branes are wrapped. When R(ΔE) >> 1, the absorption cross-section is found to be independent of the microstate and identical to the leading semiclassical answer computed from the naive geometry. For smaller (ΔE), the answer depends on the particular microstate, which we examine for both typical and atypical microstates. We derive an upper bound for the leading correction to the cross-section when 1/R >> ΔE >> (the average energy gap 1/{R [sqrt(Q_1Q_5)]}. For a typical state the bound is proportional to the area of the stretched horizon, [\sqrt(Q_1 Q_5)], up to [log (Q_1Q_5)] terms. Furthermore, when E_0 << (ΔE), the proportionality constant is a pure number independent of all energy scales. Numerical calculations using Lorentzian profiles show that the actual value of the correction is in fact proportional to [sqrt(Q_1Q_5)] without the logarithmic factor. We offer some speculations about how this result can be consistent with a resolution of the naive geometry by higher derivative corrections to supergravity.

42 pages, 5 figures

References in corpus (54)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• The fuzzball proposal for black holes: an elementary review
• Bubbling AdS space and 1/2 BPS geometries
• D-brane Approach to Black Hole Quantum Mechanics
• The D1/D5 System And Singular CFT
• AdS/CFT duality and the black hole information paradox
• Black Hole Greybody Factors and D-Brane Spectroscopy
• EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES
• Microscopic Formulation of Black Holes in String Theory
• Universailty of Low Energy Absorption Cross-sections for Black Holes
• Comparing decay rates for black holes and D-branes
• A toy model for the AdS/CFT correspondence
• Exact Counting of Black Hole Microstates
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• The fuzzball proposal for black holes
• Precision Counting of Small Black Holes
• 3-charge geometries and their CFT duals
• Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• The Library of Babel: On the origin of gravitational thermodynamics
• U(1) Charges and Moduli in the D1-D5 System
• De-singularization by rotation
• A Stringy Cloak for a Classical Singularity
• Large N BPS states and emergent quantum gravity
• Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory
• Absorption vs Decay of Black holes in string theory and T-symmetry
• Massless black holes and black rings as effective geometries of the D1-D5 system
• Interactions involving D-branes
• String Theory Effects on Five-Dimensional Black Hole Physics
• Fermions from Half-BPS Supergravity
• D1-D5 black hole microstate counting from supergravity
• What Exactly is the Information Paradox?
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• 5D Black Holes and Strings with Higher Derivatives
• The Library of Babel
• Typicality versus thermality: An analytic distinction
• Precision Entropy of Spinning Black Holes
• Half-BPS Giants, Free Fermions and Microstates of Superstars
• 5D Attractors with Higher Derivatives
• The slowly rotating near extremal D1-D5 system as a `hot tube'
• D-branes and Near Extremal Black Holes at Low Energies
• Absorption of Scalars by Extended Objects
• Black Holes, Black Rings and their Microstates
• The Gravitational Description of Coarse Grained Microstates
• Black Hole Statistics from Holography
• Exact operator bosonization of finite number of fermions in one space dimension
• Black holes and Elementary String States in N=2 Supersymmetric String Theories
• 5d Black Hole as Emergent Geometry of Weakly Interacting 4d Hot Yang-Mills Gas
• Absorption and Hawking Radiation of Minimal and Fixed Scalars, and AdS/CFT correspondence
• The Effectiveness of D-branes in the Description of Near-Extremal Black Holes
• Dynamics of chiral primaries in $Ad{S}_3\times S^3\times T^4$
• Black Hole Geometry around an Elementary BPS String State
• Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT
• Observability of Quantum State of Black Hole

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• Modave Lectures on Fuzzballs and Emission from the D1-D5 System
• Quantum quench in matrix models: Dynamical phase transitions, Selective equilibration and the Generalized Gibbs Ensemble
• Small Black holes vs horizonless solutions in AdS
• Stringy effects in black hole decay
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