We use the AdS/CFT correspondence to compute the energy radiated by an infinitely massive half-Bogomol’nyi-Prasad-Sommerfeld particle charged under $\mathcal{N}=4$ 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 $D5$-branes reaching the boundary of five-dimensional anti–de Sitter space (${\mathrm{AdS}}_5$) at arbitrary timelike trajectories, while for the symmetric case, we consider a $D3$-brane in ${\mathrm{AdS}}_5$ 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 ${\mathrm{AdS}}_5$.

• Received 8 July 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.151601