Scales and hierarchies in warped compactifications and brane worlds
By Oliver DeWolfe, S. Giddings. 2002
303 citations recorded by the source corpus.
Author(s): DeWolfe, O.; Giddings, S. B. | Abstract: Warped compactifications with branes provide a new approach to the hierarchy problem and generate a diversity of four-dimensional thresholds. We investigate the relationships between these scales, which fall into two classes. Geometrical scales, such as thresholds for Kaluza-Klein, excited string, and black hole production, are generically determined solely by the spacetime geometry. Dynamical scales, notably the scale of supersymmetry breaking and moduli masses, depend on other details of the model. We illustrate these relationships in a class of solutions of type IIB string theory with imaginary self-dual fluxes. After identifying the geometrical scales and the resulting hierarchy, we determine the gravitino and moduli masses through explicit dimensional reduction, and estimate their value to be near the four-dimensional Planck scale. In the process we obtain expressions for the superpotential and Kahler potential, including the effects of warping. We identify matter living on certain branes to be effectively sequestered from the supersymmetry breaking fluxes: specifically, such "visible sector" fields receive no tree-level masses from the supersymmetry breaking. However, loop corrections are expected to generate masses, at the phenomenologically viable TeV scale.
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Citations in the corpus
- Dynamics of warped compactifications and the shape of the warped landscape (2005, methodology): “The general action for the light spectrum is expected to be rather complicated, with various subtleties arising from the warping; a version of it for IIB orientifolds, valid to leading order in the large-volume approximation, and thus neglecting effects of warping, was given by Grimm and Louis in…”
- Hitchin functionals in N = 2 supergravity (2005, background): “[89, 90], which considered KK-reductions in warped products with a conformal Calabi–Yau factor.”
- From ten to four and back again: how to generalize the geometry (2007, methodology): “For example our approach offers a natural way to treat the ‘warped’ Kähler potentials proposed in [24, 26] in the context of IIB warped Calabi-Yau compactifications.”
- Primordial non-Gaussianities in single-field inflation (2005, unknown): “Keywords: Cosmological perturbation theory, Inflation, Cosmology of theories beyond the SM, Physics of the early universe astro-ph/0503692”
- Moduli stabilization in chiral type IIB orientifold models with fluxes (2003, background): “⋆On sabbatical leave from Department of Physics, Northeastern University, Boston, MA 02115, USA.”
- Closer towards inflation in string theory (2003, methodology): “The form of the K¨ahler potential came from Ref [ 7 ], where r is invariant under the constant shift symmetry:”
- Smeared versus localised sources in flux compactifications (2010, background): “J H E P 1 2 ( 2 0 1 0 ) 0 4 3 The main conclusion of our examples is that the individual localisation corrections1 cancel against each other in the effective potential for certain BPS solutions (along the lines of [7]).”
- D-terms and F-terms from D7-brane fluxes (2005, background): “In this regime the back-reaction should be viewed as a perturbation to the product ansatz, which generates in the effective action scalar potential terms.”
- Realistic D-brane models on warped throats: Fluxes, hierarchies and moduli stabilization (2003, background): “Both the D7and D3-branes preserve the same supersymmetry and we have a version of the (5)A general discussion of the different possible scales appearing in these classes of models can be found in [21].”
- On brane inflation with volume stabilization (2003, background): “One of the arguments presented in [10] is that the kinetic term for the coordinates of the D3 brane φ has the form”
- The effective action of D7-branes in N=1 Calabi-Yau orientifolds (2004, unknown): “[44] [45] [17] [20] [21] [41].”
- Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking (2005, background): “We expect F/C0 ∼ m(2)3/2 The contribution to scalar masses from AMSB is then (see [50])”
- Loop corrections to volume moduli and inflation in string theory (2004, unknown): “It was conjectured in [41] that the Kähler potential for the volume modulus ρ in the presence of D3-brane scalars φ, i = 1, 2, 3, should be modified to K(ρ, ρ̄, φ, φ̄) = −3 ln(−i(ρ − ρ̄) + k(φ, φ̄)) , (7)”
- D3-brane potentials from fluxes in AdS/CFT (2010, unknown): “Finally, the Kähler potential is [50, 32] K = −3 ln[ρ + ρ̄− γk(zα, z̄α)] (with γ a constant, cf.”