Hierarchies from fluxes in string compactifications

By S. Giddings, S. Kachru, J. Polchinski. 2001

2,109 citations recorded by the source corpus.

Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of IIB string theory and F-theory compactifications on Calabi-Yau four-folds. In each case, the hierarchy of scales is fixed by a choice of RR and NS fluxes in the compact manifold. Our solutions involve compactifications of the Klebanov-Strassler gravity dual to a confining N = 1 supersymmetric gauge theory, and the hierarchy reflects the small scale of chiral symmetry breaking in the dual gauge theory.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/67e0c87c42a7ce49e6d2c5feeb55e0ecd2559457

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In Nuclear and High Energy Physics

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Citations in the corpus

• Gravity and Strings (2005, positive): “A broad class of string solutions that stabilize moduli using fluxes and branes was discovered in [3].”
• Double-trace operators and one-loop vacuum energy in AdS/CFT (2002, background): “It would be interesting to see how the construction discussed in this paper might be realized as part of a compactification of string theory to four dimensions, along the lines of [30, 31].”
• Soft SUSY breaking terms for chiral matter in IIB string compactifications (2006, background): “In recent years much progress has been made in the field of moduli stabilisation [3–5], particularly in the context of type II compactifications.”
• Distributions of flux vacua (2004, background): “Now, suppose we had an approximation ρ(z,Λ) to the density of suitable vacua, with suitably small cosmological constant.”
• Flux-induced soft supersymmetry breaking in chiral type IIB orientifolds with D3 / D7-branes (2004, background): “25) has to obey the imaginary self–duality condition ⋆6G = +i G [10].”
• Topological sigma-models with H-flux and twisted generalized complex manifolds (2004, background): “But there are well-known theorems that force all such smooth supergravity solutions to have zero H-field [11, 8, 3].”
• Compactifications of heterotic theory on non-Kähler complex manifolds, I (2003, background): “Therefore, our definition of G3 will be the same as in [ 11 ].”
• String loop corrected hypermultiplet moduli spaces (2006, background): “Based on the observations in orientifold compactifications of the type II string to N = 1 supergravity [3, 49] one would expect that perturbative corrections can play an important role in altering the vacuum structure and stabilizing the moduli of the compactification.”
• Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory (2006, background): “Although our results are derived completely within the context of the heterotic theory, they exhibit features that should also be applicable to flux compactifications of type II theories as string dualities map our solution to flux backgrounds of M-theory on K3 × K3 as well as the F-theory duals dis”
• Closer towards inflation in string theory (2003, background): “Yau manifold in F-thoery, or, equivalently, a type IIB orientifold compactified on a 3-fold Calabi-Yau manifold with fluxes to stabilize all but the volume modulus [ 4 ].”
• On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes (2006, background): “It is well-known that a D3-brane probe of a ‘no-scale’ compactification [5] with imaginary self-dual three-form fluxes experiences no force: gravitational attraction and RamondRamond repulsion cancel, and the brane can sit at any point of the compact space with no energy cost.”
• Mirror symmetry in generalized Calabi–Yau compactifications ☆ (2002, neutral): “2On leave from IFIN-HH Bucharest”
• From ten to four and back again: how to generalize the geometry (2007, background): “[23, 24]) and in flux vacua holographically dual to (possibly confining) gauge theories.”
• Nongeometric flux compactifications (2005, methodology): “The topological fluxes produce a potential for the scalar moduli, and can thus “stabilize” some or all of the moduli to take specific values [4, 5, 6].”