Energy Loss of an Infinitely Massive Half-Bogomol'nyi-Prasad-Sommerfeld Particle by Radiation to All Orders in 1/N

Abstract

We use the AdS/CFT correspondence to compute the energy radiated by an infinitely massive half-Bogomol'nyi-Prasad-Sommerfeld particle charged under N = 4 super Yang-Mills theory, transforming in the symmetric or antisymmetric representation of the gauge group, and moving in the vacuum, to all orders in 1 / N and for large 't Hooft coupling. For the antisymmetric case we consider D 5 -branes reaching the boundary of five-dimensional anti-de Sitter space ( AdS 5 ) at arbitrary timelike trajectories, while for the symmetric case, we consider a D 3 -brane in AdS 5 that reaches the boundary at a hyperbola. We compare our results to the one obtained for the fundamental representation, deduced by considering a string in AdS 5 .