Spontaneous decompactification

Giddings, Steven B.; Myers, Robert C.

doi:10.1103/physrevd.70.046005

Cited by 49 publications

(74 citation statements)

References 67 publications

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“…To be concrete, let us first focus on the case when the three-dimensional cosmological constant is zero and the axion fluxes are absent, so that the effective potential U goes to zero at large values of R. Let us start with the simplest case, when the lower dimensional vacuum has a negative cosmological constant. According to (13) this implies that the effective potential has a maximum at R = R 0 , see Fig. 5.…”

Section: Setting Up the Problem In The Three-dimensional Casementioning

confidence: 99%

Quantum horizons of the standard model landscape

Arkani-Hamed

Dubovsky

Nicolis

et al. 2007

J. High Energy Phys.

159

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The long-distance effective field theory of our Universe-the Standard Model coupled to gravityhas a unique 4D vacuum, but we show that it also has a landscape of lower-dimensional vacua, with the potential for moduli arising from vacuum and Casimir energies. For minimal Majorana neutrino masses, we find a near-continuous infinity of AdS 3 ×S 1 vacua, with circumference ∼ 20 microns and AdS 3 length 4 × 10 25 m. By AdS/CFT, there is a CFT 2 of central charge c ∼ 10 90 which contains the Standard Model (and beyond) coupled to quantum gravity in this vacuum. Physics in these vacua is the same as in ours for energies between 10 −1 eV and 10 48 GeV, so this CFT 2 also describes all the physics of our vacuum in this energy range. We show that it is possible to realize quantumstabilized AdS vacua as near-horizon regions of new kinds of quantum extremal black objects in the higher-dimensional space-near critical black strings in 4D, near-critical black holes in 3D. The violation of the null-energy condition by the Casimir energy is crucial for these horizons to exist, as has already been realized for analogous non-extremal 3D black holes by Emparan, Fabbri and Kaloper. The new extremal 3D black holes are particularly interesting-they are (meta)stable with an entropy independent of ℏ and G N , so a microscopic counting of the entropy may be possible in the G N → 0 limit. Our results suggest that it should be possible to realize the larger landscape of AdS vacua in string theory as near-horizon geometries of new extremal black brane solutions.

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Section: Setting Up the Problem In The Three-dimensional Casementioning

confidence: 99%

Quantum horizons of the standard model landscape

Arkani-Hamed

Dubovsky

Nicolis

et al. 2007

J. High Energy Phys.

159

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“…The scalar potential for the Kähler moduli always goes to zero at infinite volume, and so any minima we might find will be unstable to spontaneous decompactification [75] to ten non-compact dimensions. This is mediated by the same CDL instantons discussed in Sec.…”

Section: Eternal Inflation and The Landscapementioning

confidence: 99%

Field dynamics and tunneling in a flux landscape

Johnson

Larfors

2008

Phys. Rev. D

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We investigate field dynamics and tunneling between metastable minima in a landscape of Type IIB flux compactifications, utilizing monodromies of the complex structure moduli space to continuously connect flux vacua. After describing the generic features of a flux-induced potential for the complex structure and Type IIB axio-dilaton, we specialize to the Mirror Quintic Calabi-Yau to obtain an example landscape. Studying the cosmological dynamics of the complex structure moduli, we find that the potential generically does not support slow-roll inflation and that in general the landscape separates neatly into basins of attraction of the various minima. We then discuss tunneling, with the inclusion of gravitational effects, in many-dimensional field spaces. A set of constraints on the form of the Euclidean paths through field space are presented, and then applied to construct approximate instantons mediating the transition between de Sitter vacua in the flux landscape. We find that these instantons are generically thick-wall and that the tunneling rate is suppressed in the large-volume limit. We also consider examples where supersymmetry is not broken by fluxes, in which case near-BPS thin-wall bubbles can be constructed. We calculate the bubble wall tension, finding that it scales like a D-or NS-brane bubble, and comment on the implications of this correspondence. Finally, we present a brief discussion of eternal inflation in the flux-landscape.

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“…We can also check that our potential (5.8) gives familiar dynamics for the radial dilaton, as described for example in [36,37], as well as better understanding the relation to the alternate expression (5.11). Consider the simpler case where we perturb an unwarped background by a stress tensor due to branes, fluxes, or other sources.…”

Section: Simple Examplesmentioning

confidence: 99%

Dynamics of warped compactifications and the shape of the warped landscape

2006

Self Cite

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The dynamics of warped/flux compactifications is studied, including warping effects, providing a firmer footing for investigation of the "landscape." We present a general formula for the four-dimensional potential of warped compactifications in terms of tendimensional quantities. This allows a systematic investigation of moduli-fixing effects and potentials for mobile branes. We provide a necessary criterion, "slope-dominance," for evading "no-go" results for de Sitter vacua. We outline the ten-dimensional derivation of the non-perturbative effects that should accomplish this in KKLT examples, and outline a systematic discussion of their corrections. We show that potentials for mobile branes receive generic contributions inhibiting slow-roll inflation. We give a linearized analysis of general scalar perturbations of warped IIB compactifications, revealing new features for both time independent and dependent moduli, and new aspects of the kinetic part of the four-dimensional effective action. The universal Kahler modulus is found not to be a simple scaling of the internal metric, and a prescription is given for defining holomorphic Kahler moduli, including warping effects. In the presence of mobile branes, this † Email address: giddings@physics.ucsb.edu ‡ Email address: anshuman@physics.ucsb.edu prescription elucidates couplings between bulk and brane fields. Our results are thus relevant to investigations of the existence of de Sitter vacua in string theory, and of their phenomenology, cosmology, and statistics.

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Spontaneous decompactification

Cited by 49 publications

References 67 publications

Quantum horizons of the standard model landscape

Quantum horizons of the standard model landscape

Field dynamics and tunneling in a flux landscape

Dynamics of warped compactifications and the shape of the warped landscape

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