Accidental Inflation from K\"ahler Uplifting

Alexander Westphal; Clemens Wieck; Ido Ben-Dayan; Shenglin Jing

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Accidental Inflation from K\"ahler Uplifting

Ido Ben-Dayan, Shenglin Jing, Alexander Westphal, Clemens Wieck

High Energy Physics - Theory · Submitted 2 Sep 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The inclusion of several quantum corrections to the 4d effective action evades previous no-go theorems and allows for construction of simple and successful models of string inflation.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.90 · mentions code or data availability 0.02.

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We analyze the possibility of realizing inflation with a subsequent dS vacuum in the K\"ahler uplifting scenario. The inclusion of several quantum corrections to the 4d effective action evades previous no-go theorems and allows for construction of simple and successful models of string inflation. The predictions of several benchmark models are in accord with current observations, i.e., a red spectral index, negligible non-gaussianity, and spectral distortions similar to the simplest models of inflation. A particularly interesting subclass of models are "left-rolling" ones, where the overall volume of the compactified dimensions shrinks during inflation. We call this phenomenon "inflation by deflation" (IBD), where deflation refers to the internal manifold. This subclass has the appealing features of being insensitive to initial conditions, avoiding the overshooting problem, and allowing for observable running $\alpha$ ~ 0.012 and enhanced tensor-to-scalar ratio $r$ ~ $10^{-5}$. The latter results differ significantly from many string inflation models.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We analyze the possibility of realizing inflation with a subsequent dS vacuum in the K\"ahler uplifting scenario.	contribution 0.98	0.84	0.12	hedged possibility 0.93
s1	The inclusion of several quantum corrections to the 4d effective action evades previous no-go theorems and allows for construction of simple and successful models of string inflation.	contribution 0.65	0.63	0.32	asserted 0.99
s2	The predictions of several benchmark models are in accord with current observations, i.e., a red spectral index, negligible non-gaussianity, and spectral distortions similar to the simplest models of inflation.	result 0.98	0.62	0.16	asserted 0.74
s3	A particularly interesting subclass of models are "left-rolling" ones, where the overall volume of the compactified dimensions shrinks during inflation.	contribution 0.80	0.55	0.08	asserted 0.97
s4	We call this phenomenon "inflation by deflation" (IBD), where deflation refers to the internal manifold.	contribution 0.64	0.80	0.10	asserted 0.97
s5	This subclass has the appealing features of being insensitive to initial conditions, avoiding the overshooting problem, and allowing for observable running $\alpha$ ~ 0.012 and enhanced tensor-to-scalar ratio $r$ ~ $10^{-5}$.	result 0.96	0.76	0.19	asserted 0.97
s6	The latter results differ significantly from many string inflation models.	interpretation 0.77	0.46	0.08	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.87.

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The paper

Original abstract

We analyze the possibility of realizing inflation with a subsequent dS vacuum in the K\"ahler uplifting scenario. The inclusion of several quantum corrections to the 4d effective action evades previous no-go theorems and allows for construction of simple and successful models of string inflation. The predictions of several benchmark models are in accord with current observations, i.e., a red spectral index, negligible non-gaussianity, and spectral distortions similar to the simplest models of inflation. A particularly interesting subclass of models are "left-rolling" ones, where the overall volume of the compactified dimensions shrinks during inflation. We call this phenomenon "inflation by deflation" (IBD), where deflation refers to the internal manifold. This subclass has the appealing features of being insensitive to initial conditions, avoiding the overshooting problem, and allowing for observable running $\alpha$ ~ 0.012 and enhanced tensor-to-scalar ratio $r$ ~ $10^{-5}$. The latter results differ significantly from many string inflation models.

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References

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10 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Compares with it 1 paper

More precisely, we first show how our `master formula' for the scalar potential in terms of 2-cycle volume moduli combined with our numerical techniques can reproduce several known models, such as standard AdS KKLT vacua [ref] , dS KKLT solutions with $α'$ uplift [ref] and both AdS and dS LVS minima [ref] .

A Systematic Approach to K\"ahler Moduli Stabilisation · Introduction · 0.80

Cites it as background 3 papers

There are, on the other hand, some attempts realizing accidental inflation by an F-term potential in type IIB, in which inflation ends at the KKLT-based de-Sitter minimum ($dS$) [ref] and at the Kähler Uplift $dS$ [ref] (see also [ref] ).

Accidental K\"ahler Moduli Inflation · Introduction · 0.91
In recent years, various approaches have addressed these challenges and led to a number of interesting constructions and successful models (see, e.g., [ref] ).

A Universal Tachyon in Nearly No-scale de Sitter Compactifications · Introduction · 0.97
Some four-dimensional examples with a possible ten-dimensional origin can be found in [ref] , while some more ten-dimensional mechanisms with possible compactifications are given in [ref] .

A no-go theorem for monodromy inflation · Introduction · 0.85

What it cites · 27 sentences without a confident label

Builds on 1 paper

Hence, our models realize the general notion of `accidental inflation' [ref] in the concrete setting of Kähler uplifted dS vacua.

Accidental Inflation in String Theory · Introduction · 0.89

Uses the method or tool of 1 paper

Using the approximated expressions derived in [ref] , one can compute both types of spectral distortions as integrals over $k$, [equation] with $P_ζ (k) = 2 π^2 P(k)/k^3$, $k_min ≈1$ Mpc$^-1$, and $k̂ = k$ Mpc.

Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum · CMB observables of interest · 1.00

Uses data or values from 4 papers

Current constraints on spectral distortions are only upper bounds given by COBE/FIRAS [ref] , ARCADE [ref] and TRIS [ref] , with $μ≲6 ·10^-5$ and $y≲1.5 ·10^-5$.

TRIS I: Absolute Measurements of the Sky Brightness Temperature at 0.6, 0.82 and 2.5 GHz · CMB observables of interest · 0.95
Current constraints on spectral distortions are only upper bounds given by COBE/FIRAS [ref] , ARCADE [ref] and TRIS [ref] , with $μ≲6 ·10^-5$ and $y≲1.5 ·10^-5$.

TRIS II: search for CMB spectral distortions at 0.60, 0.82 and 2.5 GHz · CMB observables of interest · 0.95
Current constraints on spectral distortions are only upper bounds given by COBE/FIRAS [ref] , ARCADE [ref] and TRIS [ref] , with $μ≲6 ·10^-5$ and $y≲1.5 ·10^-5$.

Interpretation of the Extragalactic Radio Background · CMB observables of interest · 0.95

Compares with 3 papers

The achievable enhancement of $r$ is bounded by the amount of running $α≲0.01$ of the spectral index $n_s$ allowed by data (see e.g. [ref] where similarly the $r$-enhancement is bounded by the allowed running $α$.) * Inflation is driven by a combination of the volume modulus and its $C_4$ RR-form axion partner on one of two local symmetrically arranged saddle/inflection points.

Cosmic Microwave Background Observables of Small Field Models of Inflation · Introduction · 0.90
The achievable enhancement of $r$ is bounded by the amount of running $α≲0.01$ of the spectral index $n_s$ allowed by data (see e.g. [ref] where similarly the $r$-enhancement is bounded by the allowed running $α$.) * Inflation is driven by a combination of the volume modulus and its $C_4$ RR-form axion partner on one of two local symmetrically arranged saddle/inflection points.

Observable gravitational waves from inflation with small field excursions · Introduction · 0.90
The achievable enhancement of $r$ is bounded by the amount of running $α≲0.01$ of the spectral index $n_s$ allowed by data (see e.g. [ref] where similarly the $r$-enhancement is bounded by the allowed running $α$.) * Inflation is driven by a combination of the volume modulus and its $C_4$ RR-form axion partner on one of two local symmetrically arranged saddle/inflection points.

Evading the Lyth Bound in Hybrid Natural Inflation · Introduction · 0.90

Cites as background 17 papers

There is another mechanism called “Kähler uplifting" capable of generating controlled and reasonably explicit dS vacua for type IIB $Calabi–Yau$ orientifold flux compactifications [ref] .

Physical Vacua in IIB Compactifications with a Single Kaehler Modulus · Introduction · 0.85
There is another mechanism called “Kähler uplifting" capable of generating controlled and reasonably explicit dS vacua for type IIB $Calabi–Yau$ orientifold flux compactifications [ref] .

Building an explicit de Sitter · Introduction · 0.85
There is another mechanism called “Kähler uplifting" capable of generating controlled and reasonably explicit dS vacua for type IIB $Calabi–Yau$ orientifold flux compactifications [ref] .

A sufficient condition for de Sitter vacua in type IIB string theory · Introduction · 0.85

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