Black hole emission rates and the AdS/CFT correspondence. (English) Zbl 0955.83014
Summary: We study the emission rates of scalar, spinor and vector particles from a 5 dimensional black hole for arbitrary partial waves. The solution is lifted to 6 dimensions, and the near horizon \(\text{BTZ}\times S^3\) geometry of the black solution is probed to determine the greybody factors. We show that the exact decay rate can be reproduced by a microscopic calculation, where the near horizon geometry is replaced by a \(1+1\) CFT. The AdS/CFT correspondence is used to determine the dimension of the operators corresponding to the bulk field. These operators couple to plane waves incident on the CFT from infinity to produce emission in the bulk.
MSC:
83C57 | Black holes |
81T20 | Quantum field theory on curved space or space-time backgrounds |
81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
81V25 | Other elementary particle theory in quantum theory |
83E30 | String and superstring theories in gravitational theory |