High energy graviton scattering in AdS/CFT
Abstract
In this article we show how to set up initial states in Script 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} × 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 swave 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 AichelburgSexl shock wave. One can then put two such shock waves into a headon 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2009
 DOI:
 10.1088/11266708/2009/06/058
 arXiv:
 arXiv:0709.3503
 Bibcode:
 2009JHEP...06..058V
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages, revtex format, no figures