2008/12/08 by Sumit R. Das, Gautam Mandal · 11 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bound state #Cosmology and Gravitation Theories #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Ministate #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum mechanics #Scalar (mathematics) #Scattering #Semiclassical physics #Supergravity #Supersymmetry #Upper and lower bounds #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/04/036
published in Journal of High Energy Physics 2009(04), 036 (Springer Nature) · 42 pages, 5 figures
arxiv created 2008/12/08 · openalex publication_date 2009/04/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the question of distinguishing between different microstates of the D1-D5 system (with charges Q1 and Q5), by scattering with an incoherent beam, composed of a supergravity probe, with central energy E0 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(Q1Q5)]. For a typical state the bound is proportional to the area of the stretched horizon, [√(Q1 Q5)], up to [log (Q1Q5)] terms. Furthermore, when E0 << (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(Q1Q5)] 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.