D-Brane Propagation in Two-Dimensional Black Hole Geometries

Abstract

We study propagation of D0-brane in two-dimensional Lorentzian black hole backgrounds by the method of boundary conformal field theory of SL(2,R)/U(1) supercoset at level k. Typically, such backgrounds arise as near-horizon geometries of k coincident non-extremal NS5-branes, where 1/k measures curvature of the backgrounds in string unit and hence size of string worldsheet effects. At classical level, string worldsheet effects are suppressed and D0-brane propagation in the Lorentzian black hole geometry is simply given by the Wick rotation of D1-brane contour in the Euclidean black hole geometry. Taking account of string worldsheet effects, boundary state of the Lorentzian D0-brane is formally constructible via Wick rotation from that of the Euclidean D1-brane. However, the construction is subject to ambiguities in boundary conditions. We propose exact boundary states describing the D0-brane, and clarify physical interpretations of various boundary states constructed from different boundary conditions. As it falls into the black hole, the D0-brane radiates off to the horizon and to the infinity. From the boundary states constructed, we compute physical observables of such radiative process. We find that part of the radiation to infinity is in effective thermal distribution at the Hawking temperature. We also find that part of the radiation to horizon is in the Hagedorn distribution, dominated by massive, highly non-relativistic closed string states, much like the tachyon matter. Remarkably, such distribution emerges only after string worldsheet effects are taken exactly into account. From these results, we observe that nature of the radiation distribution changes dramatically across the conifold geometry k=1 (k=3 for the bosonic case), exposing the `string - black hole transition' therein.

51 pages, 5 figures, v2: referece added, note added replying the comment made in hep-th/0602060

References in corpus (16)

• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• Boundary States for the Rolling D-branes in NS5 Background
• D-branes and extended characters in SL(2,R)/U(1)
• D-Brane Dynamics in Dp-Brane Background
• Comments on D-brane Dynamics Near NS5-Branes
• D-brane Dynamics in RR Deformation of NS5-branes Background and Tachyon Cosmology
• Dbrane Near NS5-branes: with Electromagnetic Field
• Rolling Down the Throat in NS5-brane Background: The Case of Electrified D-Brane
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• Exactly Soluble Dynamics of (p,q) String Near Macroscopic Fundamental Strings
• D-Brane Dynamics and NS5 Rings
• Non-BPS D-brane Near NS5-branes
• Non-BPS Dp-Brane in Dk-Brane Background
• D-brane dynamics near compactified NS5-branes
• D-branes in 2d Lorentzian black hole
• Tubular Solutions in NS5-brane, Dp-brane and Macroscopic Strings Backgrounds

Cited by in corpus (16)

• Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity
• Partition functions of the tensionless string
• Blackhole/String Transition for the Small Schwarzschild Blackhole of $Ad{S}_5\times S^5$ and Critical Unitary Matrix Models
• Perturbative String Thermodynamics near Black Hole Horizons
• Supersymmetric D-branes in the D1-D5 background
• Dynamics of D1-brane in I-brane Background
• Electrified Fuzzy Spheres and Funnels in Curved Backgrounds
• Thermodynamics of Superstring on Near-extremal NS5 and Effective Hagedorn Behavior
• Unitarity Meets Channel-Duality for Rolling / Decaying D-Branes
• Hairpin Branes and D-Branes Behind the Horizon
• Matrix models for D-particle dynamics and the string/black hole transition
• Anti-de Sitter D-brane dynamics
• ZZ Brane Decay in D Dimensions
• D-dualized D-brane
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• If you want to cross singularity, wrap it!