科研之友
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摘要
In this article we show how to set up initial states in N = 4 SYM theory that correspond to high energy graviton collisions, which by the AdS/CFT duality, lead to black hole formation in AdS(5) x S-5. For this purpose, we study states in the gauge theory that are dual to graviton wavepackets localized at the center of AdS(5), and carrying large angular momentum along the S-5. These states are created by exciting only the s-wave mode of one of the complex adjoint scalars of SYM. For a single graviton, the state is 1/2 BPS and one can show that it is dual to a linearized 1/2 BPS geometry in the bulk. Exploiting this dictionary, we show how to localize the particle's wavefunciton so that the dual linearized metric has the form of a Aichelburg-Sexl shock wave. One can then put two such shock waves into a head-on collision, which is known to produce a trapped surface. Finally, we discuss the prospect of studying graviton scattering directly at strong coupling in the gauge theory using a reduced model of matrix quantum mechanics.
- 出版日期2009-6
