Gravity dual of N=4 SYM theory with fast moving sources

Abstract

A family of wave solutions to the full Einstein equations in AdS_5 geometry is derived. These background solutions give by duality the response of N=4 SYM at strong coupling to an arbitrary distribution of fast moving external sources for the energy-momentum tensor operator. We discuss the similarities of these solutions with the Color Glass Condensate effective theory for QCD at high energy.

Comments: 5 pages, improved discussions, and a note has been added