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Abstract: In this article we show how to set up initial states in ${\cal N} =4$ SYMtheory that correspond to high energy graviton collisions, leading to blackhole formation in $AdS 5\times S^5$. For this purpose, we study states in thegauge 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 arecreated by exciting only the s-wave mode of one of the complex adjoint scalarsof SYM. For a single graviton, the state is 1-2 BPS and one can show that it isdual 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 linearizedmetric has the form of a Aichelburg-Sexl shock wave. One can then put two suchshock waves into a head-on collision, which is known to produce a trappedsurface. Finally, we discuss the prospect of studying graviton scatteringdirectly at strong coupling in the gauge theory using a reduced model of matrixquantum mechanics.



Autor: Samuel E. Vazquez

Fuente: https://arxiv.org/







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