Title: Energy Loss of an Infinitely Massive Half-Bogomol’nyi-Prasad-Sommerfeld Particle by Radiation to All Orders in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:math>
Abstract: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, transformin...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 ${\mathrm{AdS}}_{5}$.Read More