Bao Ruoyu, Lykken Joseph
Enrico Fermi Institute and Department of Physics, University of Chicago, Illinois 60637, USA.
Phys Rev Lett. 2005 Dec 31;95(26):261601. doi: 10.1103/PhysRevLett.95.261601. Epub 2005 Dec 19.
In the same sense that 5D anti-de Sitter space (AdS(5)) warped geometries arise naturally from type IIB string theory with stacks of D3 branes, AdS(7) warped geometries arise naturally from M theory with stacks of M5 branes. We compactify two spatial dimensions of AdS(7) to get AdS(5) x Sigma(2), where the metric for Sigma(2) inherits the same warp factor as appears in the AdS(5). We analyze the 5D spectrum in detail for the case of a bulk scalar or a graviton in AdS(5) x T(2), in a setup which mimics the first Randall-Sundrum model. The results display novel features which might be observed in experiments at the CERN Large Hadron Collider. For example, we obtain TeV scale string winding states without lowering the string scale. This is due to the double warping which is a generic feature of winding states along compactified AdS directions. Experimental verification of these signatures of AdS(7) could be interpreted as direct evidence for M theory.
与5维反德西特空间（AdS(5)）的弯曲几何结构自然地源于带有D3膜堆的IIB型弦理论的方式相同，AdS(7)的弯曲几何结构自然地源于带有M5膜堆的M理论。我们对AdS(7)的两个空间维度进行紧致化，得到AdS(5)×Σ(2)，其中Σ(2)的度规继承了与AdS(5)中出现的相同的翘曲因子。在一个模仿第一个兰德尔 - 桑德鲁姆模型的设定中，我们详细分析了AdS(5)×T(2)中体标量或引力子情况下的5维谱。结果展示了可能在欧洲核子研究中心大型强子对撞机实验中观测到的新特征。例如，我们在不降低弦尺度的情况下得到了TeV尺度的弦缠绕态。这是由于双重翘曲，它是沿紧致化AdS方向的缠绕态的一个普遍特征。对这些AdS(7)特征的实验验证可以被解释为M理论的直接证据。
