Hierarchies from fluxes in string compactifications
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Cites background or methods from "Hierarchies from fluxes in string c..."
...It was shown in [5] that the minimal redshift satisfies r0 R = e 2πK 3gsM (4....
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...Throughout this discussion, we ignore the problem of stabilizing the overall volume modulus, which is unfixed in the constructions of [5]....
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...The axion comes from a four-form potential proportional to a harmonic four-form in the internal manifold [5]....
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...As described in [5], one can use the above construction to compactify the warped deformed conifold solution of Klebanov and Strassler (KS)....
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...We choose to turn on background fluxes: the three-form fluxes F3, H3 present in the theory are placed along cycles in the internal space (and F5 is fixed as in [5])....
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"Hierarchies from fluxes in string c..." refers background in this paper
...In effect the fluxes produce a model similar to RS1 [1], in which the warp factor does not go to zero but to a small positive value....
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...This mechanism has in particular played a role in the Randall-Sundrum (RS) models [1, 2]....
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...This perturbation is absent in our solution: in supergravity language it is a 3-form flux, but it is not of the form ∗6G(3) = iG(3), 10We should note that, unlike RS1, there is no negative tension brane at the low energy end; rather, there is a KS space....
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...(3.19) In effect the fluxes produce a model similar to RS1 [1], in which the warp factor does not go to zero but to a small positive value.10 The large hierarchy (3.13) has a simple interpretation in terms of a dual gauge theory....
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...There has been a great deal of interest in finding string theory constructions which produce large hierarchies through warping, and in particular reproduce, at long wavelengths, features of the RS1 model [1]....
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6,936 citations
"Hierarchies from fluxes in string c..." refers background or methods in this paper
...This is similar to the RS2 model [2], though is a bona-fide compactification, with the compact manifold playing a role roughly analogous to the so-called “Planck brane” of [2], and yielding a finite four-dimensional Planck scale....
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...This mechanism has in particular played a role in the Randall-Sundrum (RS) models [1, 2]....
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2,429 citations
"Hierarchies from fluxes in string c..." refers background or methods in this paper
...In the final analysis these branes dissolve into flux, and result in a nonsingular solution that has recently been found by Klebanov and Strassler (KS) [7]....
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...Our motivation stems from the work of Klebanov-Strassler [7]....
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...The exponentially small value of z computed from the superpotential of [9] independently confirms the existence of a hierarchy for reasonable choices of M and N (and represents the small, dynamically generated scale of chiral symmetry breaking in [7])....
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...19) then corresponds precisely to the renormalization group analysis of KS [7]....
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...The modes controlling the complex structure of X, which determine τ via (4.8), are frozen on general grounds by just the Klebanov-Strassler fluxes, as described at the end of §3....
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"Hierarchies from fluxes in string c..." refers background in this paper
...A simple means of reducing the symmetry is to place the D3-branes not at a smooth point of the transverse space but at a singularity [10, 11, 12, 13]....
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