Dynamics of warped compactifications and the shape of the warped landscape
By S. Giddings, Anshuman Maharana. 2005
249 citations recorded by the source corpus.
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 ten-dimensional 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 nonperturbative effects that should accomplish this in examples of Kachru, Kallosh, Linde and Trivedi 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 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.
Subfields: Applied Mathematics, Nuclear and High Energy Physics, Radiology, Nuclear Medicine and Imaging
View Paper: https://www.semanticscholar.org/paper/1b230d4bbfc6e6444e2e3c440e05b90cbec21247
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Citations in the corpus
- Les Houches Lectures on Constructing String Vacua (2008, background): “[77, 78, 80, 81].”
- Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models (2006, unknown): “Of course, since we are still lacking a string field theory framework, one cannot derive the rules for instanton computations from first principles but has to guess them by invoking analogies with what we experience in field theory (see however [ 36 ] for an account of non-perturbative effects direc”
- Flux compactifications in string theory: A Comprehensive review (2005, background): “We will skip the details of the derivation done in [59] (see also Refs.”
- On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes (2006, methodology): “Following [22], we overcome these difficulties by viewing the correction to the mobile D3brane potential as arising from a distortion, sourced by the D3-brane itself, of the background near the four-cycle responsible for the nonperturbative effect.”
- Gaugino Condensates and D-terms from D7-branes (2006, background): “(17)A closed string dual version of calculating these corrections to the gauge couplings was discussed in [53,54].”
- D3-brane potentials from fluxes in AdS/CFT (2010, background): “The Einstein-frame action for a Dp-brane (2)To determine the full effective action governing time-dependent solutions, a more general line element is required [31, 32].”
- MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “The effective field theory in the presence of highly warped regions has been studied in [21,29–33].”
- Jumping Through Loops: On Soft Terms from Large Volume Compactifications (2007, methodology): “We would also like to point out that for holomorphic quantities like the nonperturbative superpotential, there has been interesting progress towards using gravity methods to compute corrections analogous to those above [41, 53].”
- Inflation and String Theory (2014, methodology): “15 For time-dependent solutions, we would require a more general ansatz [310].”
- 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.”
- The Swampland: Introduction and Review (2019, background): “We will therefore neglect the warping, and refer to [226], and follow-up work, for studies of its effects on the effective theory.”
- Simple exercises to flatten your potential (2010, background): “A straightforward calculation of the four dimensional effective potential, derived for general warping in [35] [36], allows one to reproduce from the gravity side the corresponding four-dimensional Einstein frame potential energy V descending from the brane throat:”
- Towards an explicit model of D-brane inflation (2007, background): “This effect is due to the interaction [11, 12] between the inflationary D3-brane and the moduli-stabilizing wrapped branes, i.”
- Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “For a general SU(3) structure manifold the (5)It would be desirable to extend our analysis to a general ∆(y) along the lines of [83, 84].”
- Smeared versus localised sources in flux compactifications (2010, background): “One way to incorporate the changes that arise upon localising a source is through “warped effective field theory” [7–18], in which one derives the correction to the fourdimensional effective action.”