D-brane Falling into 2d Black-hole and Closed String Radiation

Details D-brane Falling into 2d Black-hole and Closed String Radiation D-brane Falling into 2d Black-hole and Closed String Radiation

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aipc..805..374s&link_type=abstract

PARTICLES, STRINGS, AND COSMOLOGY: 11th International Symposium on Particles, Strings, and Cosmology; PASCOS 2005. AIP Conferen

Physics

D Branes, Physics Of Black Holes

Scientific paper

We study the dynamics of D0-brane falling into the Lorentzian 2-dimensional black hole (2D BH), typically arising in the near-horizon limit of non-extremal NS5-brane background, by the methods of boundary state. The `falling D0-brane' is expected to be obtained by the Wick rotation from the known D1-brane solution on the Euclidean 2D BH. Despite its easiness in the classical solution, the Wick rotation in the boundary conformal theory is rather non-trivial due to ambiguities of boundary conditions. We propose the exact boundary state describing it, clarifying the role of boundary condition. We also evaluate the closed string radiation from the infalling brane. An expected thermal-like behavior at the Hawking temperature is observed in the outgoing radiation. On the other hand, it is remarkably found that the incoming radiation absorbed by the black hole effectively shows the Hagedorn-like behavior with precise α'-correction. This fact implies that the radiation products are dominated by very massive, highly non-relativistic closed string states like the tachyon matter. The radiation rate curiously depends on the level k of SL(2)/U(1) supercoset, suggesting the `black hole/string phase transition' at k = 1 (k = 3 for the bosonic coset) discussed recently.

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