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...couplings sufficiently for anomaly mediation (or one of the other extra-dimensional mechanisms) to provide safely flavor-universal visible masses. Conformal sequestering has been further developed in =-=[14,15,16]-=-. In this paper we demonstrate that the mechanism of “warped sequestering” can be realized in string theory, in the form leading to anomaly-mediated supersymmetry breaking in the visible sector. In es...

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... generalized Banks-Zaks fixed points, one always finds δmin < 0. 1 One may weaken this requirement to allow conserved current multiplets J (i.e. real multiplets of dimension two) to appear in the OPE =-=[32]-=-. This is viable because D2J = 0, by definition, and therefore does not contribute to Bµ. However, one cannot spontaneously break SUSY in an SCFT. Therefore, the SCFT must be deformed by relevant oper...

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...This corresponds to taking hi parallel to ki, which has indeed been shown to always yield Ξ(v, h) = 0. Under favorable circumstances, there may however also exist more general solutions with hα 6= 0. Whenever they arise, these correspond to a more general choice for hi, which also yields Ξ(v, h) = 0 but in a potentially more flexible way. One may then try to investigate when such particular directions exist and whether it is possible to force the Goldstino direction to align along them as a result of a global symmetry, thereby realizing the idea of mild sequestering proposed in [59] (see also [60]). It was however shown in [21] that this is possible only whenever the matrices caαβ span a Lie algebra and dabc are the symmetric symbol of this algebra. This leads to the conclusion that such a mechanism is really natural only in models where the scalar manifold is a coset, and much less natural in models where the scalar manifold is generic. 30 8 Conclusions In this work, we have presented a general study of the geometry of no-scale Kahler manifolds. We first derived a simple and novel general formula given by (2.24) for the curvature tensor of a completely generic no-scale Kahler manifo...

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... modulus and displaying sequestering is changed to a less symmetric scalar manifold where sequestering is spoiled as soon as additional Kahler moduli occur. In such a situation, one then generically finds that non-vanishing and non-universal soft scalar masses are generated out of the contact terms induced by the vector multiplets. Interestingly, it has been proposed that the spoiled sequestering of generic string models can be rehabilitated in a milder form by making additional assumptions concerning the symmetries of the hidden sector [22]. The basic point behind this idea was explained in [23], and relies on the fact that although the contact terms that occur do not vanish, they have a very particular form, due to the fact that they are induced by integrating out a heavy vector superfield. More precisely, they essentially consist of the product of two current superfields J , associated to the symmetry that was gauged by the heavy vector superfields, divided by the square of the mass scale M of these modes. In the low-energy effective theory, there may then remain a global version of the original symmetry, implying the conservation of these current superfields: D2J = 0. This Ward id...

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...e some of the chiral fields Xi possess scaling dimensions ∆Xi > 1, possibly at a conformal or near-conformal fixed point.10 Such circumstances arise frequently in theories with conformal sequestering =-=[12, 13, 24, 14]-=-, and more generally whenever SUSY breaking sectors are strongly coupled. To see the effects of large anomalous dimensions more clearly, let us focus on the case of a single chiral superfield X with s...

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...ering paper [1] it was shown that such vacua exist in the configuration space of simple N = 1 theories like SQCD with massive flavors. Since then these ideas have found fertile ground in field theory =-=[2, 3, 4, 5, 6, 7, 8, 9]-=- and string theory [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], resulting in a lot of extensions and realizations. An interesting question already raised in [1] is whether N = 2 theories softly broke...

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...ith a stringy instanton as in [131, 132]. The supersymmetry breaking metastable vacua that we have found in the conformal window might be used in conformally sequestered scenarios, along the lines of =-=[133]-=-. Another application is the study of Yukawa interactions along 159 9. Non-supersymmetric vacua the lines of [134, 135]. Superconformal field theories naturally explain the suppression of the Yukawa c...