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arXiv 1101.0152hep-th
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超对称膜反反应的大尺寸和小曲率

Large Dimensions and Small Curvatures from Supersymmetric Brane Back-reaction

C. P. Burgess, L. van Nierop

摘要:

我们计算一个显式通量稳定紧化内的余维2膜对的反反应,以跟踪其性质如何依赖于定义膜体耦合的参数。膜张力和与稳定通量的磁耦合在所产生的动力学中起着重要的作用,磁耦合允许一些通量定位在膜上(从而改变通量量子化条件)。我们发现,反反应升降机的经典平面方向的散装超引力,我们计算的标量势和变化的额外的维和on-brane几何的结果,作为假设的膜耦合的函数。当关于简单的橄榄球几何形状线性化时,所得到的解决方案允许系统的响应的系统探索。我们探索的几个系统具有显著的特性。其中包括额外维度倾向于稳定在指数级的大尺寸,提供了一种产生极大体积的机制。在某些情况下,膜-玻色子耦合允许体玻色子进行调整,以抑制膜上曲率参数低于膜张力的变化,潜在地提供了一种降低真空能量的机制。我们探讨了这种抑制对量子效应的稳定性,当它们的强度由沿经典平坦方向的场的值控制时,发现它可以(但不一定)是稳定的。

英文摘要:

We compute the back-reaction of pairs of codimension-two branes within an explicit flux-stabilized compactification, to trace how its properties depend on the parameters that define the brane-bulk couplings. Both brane tension and magnetic couplings to the stabilizing flux play an important role in the resulting dynamics, with the magnetic coupling allowing some of the flux to be localized on the branes (thus changing the flux-quantization conditions). We find that back-reaction lifts the classical flat directions of the bulk supergravity, and we calculate both the scalar potential and changes to the extra-dimensional and on-brane geometries that result, as functions of the assumed brane couplings. When linearized about simple rugby-ball geometries the resulting solutions allow a systematic exploration of the system's response. Several of the systems we explore have remarkable properties. Among these are a propensity for the extra dimensions to stabilize at exponentially large sizes, providing a mechanism for generating extremely large volumes. In some circumstances the brane-dilaton coupling allows the bulk dilaton to adjust to suppress the on-brane curvature parametrically below the change in brane tension, potentially providing a mechanism for reducing the vacuum energy. We explore the stability of this suppression to quantum effects in the case where their strength is controlled by the value of the field along the classical flat direction, and find it can (but need not) be stable.

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