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arXiv 1108.0345hep-thastro-ph.COgr-qchep-ph
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超对称6D膜反反应的技术自然宇宙学常数

Technically Natural Cosmological Constant From Supersymmetric 6D Brane Backreaction

C. P. Burgess, Leo van Nierop

摘要:

我们提供了一个高维模型的明确例子,该模型描述了质量为M的四维粒子的非超对称谱,其四维几何-- { \em包括环效应} --具有R ~ m_KK ^4/M_p^2阶的曲率,其中m_KK是额外维的卡鲁扎-克莱因尺度,M_p是四维普朗克常量。m_KK是稳定的并且可以特别地满足m_KK << M。该系统由一个(5+1)维模型与通量稳定的超对称体耦合到非超对称物质局域在(3+1)维正张力膜。我们使用最近的技术来计算额外的维度如何对膜性质的变化做出反应,以表明(在经典水平上)低能4D几何是完全平坦的,与膜张力的值无关。它这样做的机制是体与膜之间稳定通量的转移。该模型的紫外完备性可以在比M大得多的尺度上出现,从而允许计算量子效应,如真空中非常大质量粒子的零点能量。我们发现,膜局部循环不影响的4D曲率在所有,但批量循环可以。这些可以在一般的基础上进行估计,我们证明了超对称性决定了它们产生的曲率一般为m_KK ^4/M_p^2阶。对于现实应用,这指向一个具有两个超对称额外维度的世界,其中体超对称性在亚eV KK尺度上被破坏-正如hep-th/0304256中提出的那样-需要略高于10 TeV的6D重力尺度。普通的标准模型粒子是膜定域的,根本不是超对称的(特别意味着没有超伴子或MSSM)。我们讨论了该模型如何回避各种不去定理,将天真地排除它,并简要概述了几个引人注目的观测引力测试和大型强子对撞机的影响。

英文摘要:

We provide an explicit example of a higher-dimensional model describing a non-supersymmetric spectrum of 4D particles of mass M, whose 4D geometry -- {\em including loop effects} -- has a curvature that is of order R ~ m_KK^4/M_p^2, where m_KK is the extra-dimensional Kaluza-Klein scale and M_p is the 4D Planck constant. m_KK is stabilized and can in particular satisfy m_KK << M. The system consists of a (5+1)-dimensional model with a flux-stabilized supersymmetric bulk coupled to non-supersymmetric matter localized on a (3+1)-dimensional positive-tension brane. We use recent techniques for calculating how extra dimensions respond to changes in brane properties to show (at the classical level) that the low-energy 4D geometry is exactly flat, independent of the value of the brane tensions. Its mechanism for doing so is the transfer of stabilizing flux between the bulk and the branes. The UV completion of the model can arise at scales much larger than M, allowing the calculation of quantum effects like the zero-point energy of very massive particles in the vacuum. We find that brane-localized loops do not affect the 4D curvature at all, but bulk loops can. These can be estimated on general grounds and we show that supersymmetry dictates that they generate curvatures that are generically of order m_KK^4/M_p^2. For realistic applications this points to a world with two supersymmetric extra dimensions, with supersymmetry in the bulk broken at the sub-eV KK scale - as proposed in hep-th/0304256 - requiring a 6D gravity scale somewhat higher than 10 TeV. Ordinary Standard Model particles are brane-localized and not at all supersymmetric (implying in particular no superpartners or the MSSM). We discuss how the model evades various no-go theorems that would naively exclude it, and briefly outline several striking observational implications for tests of gravity and at the LHC.

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