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arXiv 0906.4517hep-thhep-ph
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瑞士奶酪D3-D7软SUSY断裂

Swiss Cheese D3-D7 Soft SUSY Breaking

Aalok Misra, Pramod Shukla

摘要:

在包含Swiss-Cheese Calabi-Yau [11169]的定向折叠的IIB型大体积紧化中,我们用一个可动的时空填充D3膜和一堆D 7膜包裹“大”因子(D5)并支持D 7膜通量,(i)利用环面数据和GLSM技术,得到了D5的几何Kaehler势;(ii)我们证明,当D3膜从一条特定的嵌入非奇异椭圆曲线移动到另一条嵌入非奇异椭圆曲线时,对于相同的体积(CY)~10^6l_s^6,有可能在暴胀时期获得10^{12}GeV的引力子,在当前时期获得TeV的引力子;(iii)通过构造D_5上局部适当的对合奇调和1-形式,使其位于浸入映射拉回的上核中,我们证明,由于Wilson线模相对于除数体积模的竞争贡献,D 7-膜在D_5上的缠绕有可能得到O(1)g_{YM}(为了允许Gaugino凝聚[gc],我们一致地考虑ND_5的零截面)-为了简化,我们将D3-膜限制为D_5,这意味着W_gc=0;(iv)我们得到了引力子质量量级的Gaugino质量和相对于引力子质量增强的物质场质量:(v)反常介导的Gaugino质量相对于引力介导的Gaugino质量被标准圈因子抑制;(vi)从(小)因子束的一部分中得到了新的次支配μ项,(vii)得到了D3位置模的质量、hat(μ)、hat(Y)和hat(μ)B项的(近似)普适性,以及D 7 Wilson线模的A项的(近似)普适性.

英文摘要:

In type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau [11169] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (D_5) and supporting D7-brane fluxes, (i) using the toric data and GLSM techniques, we obtain the geometric Kaehler potential for D_5 in terms of genus-two Siegel theta functions; (ii) we show that as the D3-brane moves from a particular embedded non-singular elliptic curve to another one, it is possible to obtain 10^{12}GeV gravitino during the inflationary era as well as a TeV gravitino in the present era, for the same vol(CY)~10^6l_s^6; (iii) by constructing local appropriate involutively-odd harmonic one-form on D_5 that lies in the cokernel of the pullback of the immersion map, we show that it is possible to obtain an O(1) g_{YM} from the wrapping of D7-branes on D_5 due to competing contributions from the Wilson line moduli relative to the divisor volume modulus (to permit gaugino condensation [gc], we consistently consider zero sections of ND_5) - to simplify we restrict the D3-brane to D_5 which means W_gc=0; (iv) we obtain gaugino masses of the order of gravitino mass and the matter fields' masses to be enhanced relative to the gravitino mass; (v) the anomaly-mediated gaugino masses are found to be suppressed relative to the gravity-mediated gaugino masses by the standard loop factor; (vi) new sub-dominant mu-terms are obtained from section of the (small) divisor bundle encoding information about the ED3- instanton fluctuation determinant; (vii) we obtain a (near)universality in the masses, hat(mu), hat(Y) and the hat(mu)B-terms for the D3 position moduli and a hierarchy in the same set and a universality in the A-terms on inclusion of D7 Wilson line moduli.

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