Scales and hierarchies in warped compactifications and brane worlds
Scales and hierarchies in warped compactifications and brane worlds
复制标题
扭曲致密化和膜世界中的尺度和层次结构
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
S. Giddings
中科院分区：
文献类型：
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作者：
Oliver DeWolfe;S. Giddings
作者：DeWolfe，O.; Giddings，S. B。| 摘要：带膜的弯曲紧化为层次问题提供了一种新的方法，并产生了多种四维阈值。我们调查这些规模之间的关系，分为两类。几何尺度，例如卡鲁扎-克莱因、激发弦和黑洞产生的阈值，一般都只由时空几何决定。动力学尺度，特别是超对称性破缺和模量质量的尺度，取决于模型的其他细节。我们说明了这些关系在一类解决方案的IIB型弦理论与虚自对偶通量。在确定了几何尺度和由此产生的层次结构之后，我们通过显式降维确定了引力子和模质量，并估计它们的值接近四维普朗克尺度。在这个过程中，我们得到的表达式的超势和Kahler势，包括翘曲的影响。我们确定了生活在某些膜上的物质可以有效地与超对称性破缺通量隔离：具体地说，这种“可见扇区”场没有从超对称性破缺中获得树级质量。然而，环路修正预计会产生质量，在现象学可行的TeV尺度。
Author(s): DeWolfe, O.; Giddings, S. B. | Abstract: Warped compactifications with branes provide a new approach to the hierarchy problem and generate a diversity of four-dimensional thresholds. We investigate the relationships between these scales, which fall into two classes. Geometrical scales, such as thresholds for Kaluza-Klein, excited string, and black hole production, are generically determined solely by the spacetime geometry. Dynamical scales, notably the scale of supersymmetry breaking and moduli masses, depend on other details of the model. We illustrate these relationships in a class of solutions of type IIB string theory with imaginary self-dual fluxes. After identifying the geometrical scales and the resulting hierarchy, we determine the gravitino and moduli masses through explicit dimensional reduction, and estimate their value to be near the four-dimensional Planck scale. In the process we obtain expressions for the superpotential and Kahler potential, including the effects of warping. We identify matter living on certain branes to be effectively sequestered from the supersymmetry breaking fluxes: specifically, such "visible sector" fields receive no tree-level masses from the supersymmetry breaking. However, loop corrections are expected to generate masses, at the phenomenologically viable TeV scale.