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Monodromy in the CMB: Gravity waves and string inflation
Abstract
We present a simple mechanism for obtaining large-field inflation, and hence a gravitational wave signature, from string theory compactified on twisted tori. For nil manifolds, we obtain a leading inflationary potential proportional to ${\ensuremath{\phi}}^{2/3}$ in terms of the canonically normalized field $\ensuremath{\phi}$, yielding predictions for the tilt of the power spectrum and the tensor-to-scalar ratio, ${n}_{s}\ensuremath{\approx}0.98$ and $r\ensuremath{\approx}0.04$ with 60 e-foldings of inflation; we note also the possibility of a variant with a candidate inflaton potential proportional to ${\ensuremath{\phi}}^{2/5}$. The basic mechanism involved in extending the field range---monodromy in $D$-branes as they move in circles on the manifold---arises in a more general class of compactifications, though our methods for controlling the corrections to the slow-roll parameters require additional symmetries.
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“They and their Dehn fillings to more general Einstein spaces exhibit explicit discrete parameters that yield small closed geodesics supporting Casimir energy.”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [20]
In the citing paper
“Two concrete examples of this are the Einstein spaces obtained from a higher-dimensional analogue of Dehn filled cusps [19] 4 and the 'inbreeding' construction [20][21][22].”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [20]
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“This analysis is reasonably model-independent, and applies to small systoles as in the 'inbreeding' construction [20][21][22] or Anderson filling [19].”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [20]
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“Of particular interest to us is an inverse relationship between systole size and volume: such a bound derived in [21,22] in the context of the inbreeding construction for small systoles [20] has the same effect of maintaining an order 1 value of the factor in brackets in (4.5).”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [20]
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“and likely also other constructions of hyperbolic manifolds with small systoles[20,21]”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [20]
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Metadata
- Authors
- Silverstein, E., & Westphal, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2008-11-06
- Volume
- 78
- Issue
- 10
- ISSN
- 1550-7998
- 1550-2368
- Cited by
- 724
- References
- 103
- Language
- en
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.