Departament de Física Fonamental i Institut de Ciències del Cosmos, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Catalonia, Spain.
Phys Rev Lett. 2011 Oct 7;107(15):151601. doi: 10.1103/PhysRevLett.107.151601. Epub 2011 Oct 3.
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 D5-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 D3-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).
我们利用 AdS/CFT 对应关系来计算在 N=4 超杨-米尔斯理论下,一个处于真空态、以任意类时轨迹运动的、无穷大质量的半玻戈莫洛夫-普拉萨德-索末菲尔德粒子的能量辐射,该粒子在规范群的对称或反对称表示下荷电。对于反对称情况,我们考虑 D5-膜在任意类时轨迹上到达五维反德西特空间(AdS(5))的边界,而对于对称情况,我们考虑在 AdS(5)中的 D3-膜到达双曲线边界。我们将我们的结果与通过考虑 AdS(5)中的弦得到的基本表示的结果进行了比较。