arxiv: 2604.19250 · v1 · submitted 2026-04-21 · ✦ hep-th · hep-ph

Recognition: unknown

On Global Embedding of Assisted Fibre Inflation

George K. Leontaris , Pramod Shukla

Authors on Pith no claims yet

Pith reviewed 2026-05-10 02:32 UTC · model grok-4.3

classification ✦ hep-th hep-ph

keywords fibre inflationlarge volume scenariosCalabi-Yau orientifoldsKähler cone boundsmoduli stabilizationstring inflationtype IIB compactifications

0 comments

The pith

Multiple fibre moduli can share the trans-Planckian field range to produce enough e-folds in fibre inflation before hitting Kähler cone boundaries.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

Fibre inflation in large volume scenarios of type IIB orientifolds on K3-fibered Calabi-Yau threefolds requires the inflaton to travel a trans-Planckian distance of roughly five to eight Planck units. Single-field realizations run into tight limits from Kähler cone conditions, especially when an exceptional rigid divisor creates a Swiss-Cheese structure, cutting short the inflationary plateau and yielding too few e-folds. The paper reviews recent work showing that when several fibre moduli assist one another, the required distance is distributed across multiple fields, so the trajectory can reach sufficient e-folds while remaining safely inside each individual Kähler cone. A reader would care because this relaxes a generic obstruction to realizing inflation inside explicit string compactifications.

Core claim

In global embeddings of fibre inflation using concrete Calabi-Yau orientifold setups, assisting multiple fibre moduli shares the burden of the trans-Planckian excursion, allowing successful inflation to occur before the fields approach their respective Kähler cone boundaries.

What carries the argument

Assisted multi-fibre inflation, in which several fibre moduli in a K3-fibered Calabi-Yau threefold jointly drive the inflaton trajectory and distribute the required field range.

If this is right

The inflationary plateau can be sustained long enough for 50–60 e-folds when the field range is shared.
Kähler cone bounds become less restrictive because no single field needs to travel the full trans-Planckian distance alone.
A broader class of K3-fibered Calabi-Yau threefolds becomes viable for fibre inflation.
The assisted mechanism can be combined with existing LVS moduli stabilization without introducing extra instabilities.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The same sharing strategy could be tested in other string inflation models that face single-field range problems.
Explicit examples with multiple K3 fibrations would provide concrete test cases for the assisted dynamics.
Multi-field effects may also relax other field-range constraints that appear in large-volume scenarios.

Load-bearing premise

Concrete Calabi-Yau orientifold setups exist in which the multi-field potential and dynamics permit the shared excursion to deliver enough e-folds without new instabilities or violations of moduli stabilization.

What would settle it

An explicit numerical computation of the multi-field potential and trajectory in a specific Calabi-Yau orientifold with at least two fibre moduli, checking whether at least 60 e-folds are obtained before any Kähler cone violation occurs.

Figures

Figures reproduced from arXiv: 2604.19250 by George K. Leontaris, Pramod Shukla.

**Figure 1.** Figure 1: Assisted inflationary track in the (𝜙 2 , 𝜙3 ) plane while keeping 𝜙 1 fixed at its minimum [37]. Assisted nature of the inflationary track can be seen from figure 1. For fixed volume V, the potential 𝑉(𝜙 2 , 𝜙3 ) exhibits a flat direction along the diagonal, ideal for slow-roll inflation. The relation Δ𝜙 𝑛 ≃ Δ𝜙/ √ 𝑛 for 𝑛 = 2 fields demonstrates how assisted inflation naturally addresses the eta-problem a… view at source ↗

**Figure 2.** Figure 2: Evolution of various pieces of the scalar potential (𝑉 · 1010) contributions [37]. During the entire evolutionary process, the various mass scales must respect the mass hierarchy : 𝐻 < 𝑚3/2 < 𝑀KK < 𝑀𝑠 < 𝑀𝑝, where 𝐻 is the Hubble scale and the gravitino mass is denoted as 𝑚3/2. The string mass 𝑀𝑠 and the various KK scales are defined as below 𝑀𝑠 = 𝑀𝑝 √ 𝛼′ , 𝑀𝑎 KK = 𝑀𝑝 𝑅𝑎 = 𝑀𝑠 𝑅˜ 𝑎 , 𝑚3/2 = 𝑒 1 2 K |𝑊0| = √ … view at source ↗

**Figure 3.** Figure 3: Evolutions of various mass scales during inflationary dynamics [37] The evolution of various scales as presented in figure 3 shows that the desired mass-hierarchy is respected throughout the inflationary regime, i.e. till 𝜖 ≤ 1 corresponding to 𝑁 ≃ 55.5. However, 19 [PITH_FULL_IMAGE:figures/full_fig_p019_3.png] view at source ↗

read the original abstract

Fibre inflation is one of the most attractive models realized in the type IIB orientifold compactification. It is embedded in the framework of L(arge) V(olume) S(cenarios) using a class of compactifying Calabi-Yau (CY) threefolds having K3-fibration. The standard single-field fibre inflation is driven by a fibre modulus which needs to travel a trans-Planckian distance of the order of ${\cal O}(5-8)$M$_p$ in the effective moduli space. The global embedding attempts using concrete CY orientifold setups have shown that K\"ahler cone conditions can generically induce some significantly tight bounds on the inflaton range, especially in the presence of a Swiss-Cheese structure via an exceptional rigid divisor in the CY threefold. Such field range bounds usually obstruct the inflationary plateau, leading to insufficient number of efolds during the inflationary dynamics. In this context, we review our recent work about the possibility of assisting multiple fibre moduli such that the burden of traveling the required trans-Planckian distance could be shared by multiple fields, and successful inflation could be realized before hitting (or being too close to) their respective individual K\"ahler cone boundaries.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This is a review of the authors' prior work on multi-fibre assisted inflation in LVS, without new concrete CY examples or multi-field calculations.

read the letter

The main thing to know is that this preprint reviews the possibility of using multiple fibre moduli to share the trans-Planckian excursion in fibre inflation, but it does not deliver any new global embeddings or explicit checks that the idea actually works. It recaps the usual single-field obstructions from Kähler cone bounds in Swiss-cheese CY orientifolds and suggests that assistance across several fibres could keep the trajectory inside the allowed region long enough for 60 e-folds. That framing is clear and stays inside standard LVS assumptions, which is useful for anyone already tracking these models. The paper does a reasonable job laying out why single-field versions run into trouble in concrete setups and why distributing the field range might help in principle. Beyond that, the soft spots are substantial and sit right at the center. No specific CY threefold with two or more fibre moduli is exhibited, no joint multi-field potential is written down, and there are no numerical solutions of the background equations or checks against the combined Kähler cone inequalities. The claim that assistance lets you reach sufficient e-folds before hitting boundaries therefore stays at the level of a plausible suggestion rather than a demonstrated result. This is really only for people deep in the fibre inflation literature who want a short recap of the assisted variant. A reader looking for verifiable new models or falsifiable predictions will not find them here. I would not bring it to a reading group. It does not look ready for serious peer review in its current form because the core mechanism is not supported by the required calculations or examples.

Referee Report

2 major / 0 minor

Summary. The manuscript reviews fibre inflation in type IIB LVS compactifications on K3-fibered Calabi-Yau threefolds. It notes that single-field fibre inflation typically requires trans-Planckian excursions of O(5-8) M_p that are obstructed by Kähler cone conditions (especially in Swiss-cheese geometries with rigid divisors), and proposes that assisting multiple fibre moduli can distribute the required field range so that sufficient e-folds are obtained before any individual modulus approaches its cone boundary.

Significance. If concrete realizations exist, the assisted multi-field mechanism could circumvent a recurring obstruction to global embeddings of fibre inflation. The discussion builds directly on established LVS potentials and Kähler-cone inequalities from prior literature, but the manuscript itself supplies no new derivations, explicit potentials, or numerical checks.

major comments (2)

[Abstract and review of assisted inflation] The central claim (that N fibre moduli can share a trans-Planckian excursion to yield N_e ≳ 60 before any individual field hits its Kähler-cone wall) is load-bearing yet unsupported: no explicit CY orientifold with ≥2 fibre moduli is exhibited, no multi-field potential is written down, and no background trajectory or e-fold integration is performed. This directly matches the absence noted in the stress-test.
[Discussion of Kähler cone conditions] The joint Kähler-cone inequalities for the diagonal (equal-excursion) direction are not derived or compared to the single-field bounds; without this, it is unclear whether the collective trajectory actually relaxes the individual constraints or merely inherits a comparable or stricter bound.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thorough review and valuable feedback on our manuscript. We appreciate the opportunity to address the concerns raised and clarify the scope of this work, which is a review of assisted fibre inflation in global Calabi-Yau embeddings.

read point-by-point responses

Referee: [Abstract and review of assisted inflation] The central claim (that N fibre moduli can share a trans-Planckian excursion to yield N_e ≳ 60 before any individual field hits its Kähler-cone wall) is load-bearing yet unsupported: no explicit CY orientifold with ≥2 fibre moduli is exhibited, no multi-field potential is written down, and no background trajectory or e-fold integration is performed. This directly matches the absence noted in the stress-test.

Authors: This manuscript is a review summarizing the assisted multi-fibre inflation mechanism from our recent prior work. The explicit Calabi-Yau orientifold examples with multiple fibre moduli, the multi-field potentials, and the numerical e-fold integrations are presented in the cited references. To strengthen the review, we will add a concise summary of those key explicit results and calculations in the revised version. revision: partial
Referee: [Discussion of Kähler cone conditions] The joint Kähler-cone inequalities for the diagonal (equal-excursion) direction are not derived or compared to the single-field bounds; without this, it is unclear whether the collective trajectory actually relaxes the individual constraints or merely inherits a comparable or stricter bound.

Authors: We agree that an explicit derivation would improve clarity. In the revised manuscript we will derive the joint Kähler-cone inequalities along the diagonal equal-excursion trajectory and directly compare them to the single-field bounds, showing how the multi-field assistance relaxes the individual constraints. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected in the derivation chain

full rationale

The paper reviews the assisted multi-fibre inflation idea within LVS and K3-fibred CY orientifolds, citing standard Kähler cone bounds and prior fibre inflation literature to argue that sharing trans-Planckian excursions across multiple moduli can yield sufficient e-folds. No equations or steps reduce by construction to fitted inputs, self-definitions, or unverified self-citations; the central discussion remains an extension of externally established moduli stabilization constraints without tautological collapse of the claim to its own premises.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Based on the abstract alone, the claim rests on standard type IIB orientifold and LVS assumptions plus the Kähler cone as a geometric constraint; no new free parameters or invented entities are introduced in the provided text.

axioms (2)

domain assumption Kähler cone conditions constrain the allowed range of moduli fields in Calabi-Yau orientifolds
Invoked to explain the obstruction in single-field embeddings and the need for multi-field assistance.
domain assumption Large Volume Scenarios provide the framework for moduli stabilization in type IIB compactifications
Stated as the embedding context for fibre inflation.

pith-pipeline@v0.9.0 · 5509 in / 1253 out tokens · 38269 ms · 2026-05-10T02:32:42.012621+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

59 extracted references · 57 canonical work pages · 3 internal anchors

[1]

de Sitter Vacua in String Theory

S. Kachru, R. Kallosh, A. D. Linde, and S. P. Trivedi, “De Sitter vacua in string theory,” Phys. Rev.D68(2003) 046005,hep-th/0301240

work page Pith review arXiv 2003
[2]

Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

V. Balasubramanian, P. Berglund, J. P. Conlon, and F. Quevedo, “Systematics of moduli stabilisation in Calabi-Yau flux compactifications,”JHEP03(2005) 007,hep-th/0502058

work page Pith review arXiv 2005
[3]

Gukov, C

S. Gukov, C. Vafa, and E. Witten, “CFT’s from Calabi-Yau four folds,”Nucl. Phys.B584 (2000) 69–108,hep-th/9906070. [Erratum: Nucl. Phys.B608,477(2001)]

work page arXiv 2000
[4]

Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials

K. Becker, M. Becker, M. Haack, and J. Louis, “Supersymmetry breaking and alpha-prime corrections to flux induced potentials,”JHEP06(2002) 060,hep-th/0204254

work page Pith review arXiv 2002
[5]

Nonperturbative superpotentials in string theory,

E. Witten, “Nonperturbative superpotentials in string theory,”Nucl. Phys. B474(1996) 343–360,hep-th/9604030

work page arXiv 1996
[6]

D-instantons, Strings and M-theory

M. B. Green and P. Vanhove, “D instantons, strings and M theory,”Phys. Lett. B408(1997) 122–134,hep-th/9704145

work page Pith review arXiv 1997
[7]

D-Brane Instantons in Type II Orientifolds,

R. Blumenhagen, M. Cvetic, S. Kachru, and T. Weigand, “D-Brane Instantons in Type II Orientifolds,”Ann. Rev. Nucl. Part. Sci.59(2009) 269–296,0902.3251

work page arXiv 2009
[8]

GUTs in Type IIB Orientifold Compactifications,

R. Blumenhagen, V. Braun, T. W. Grimm, and T. Weigand, “GUTs in Type IIB Orientifold Compactifications,”Nucl.Phys.B815(2009) 1–94,0811.2936

work page arXiv 2009
[9]

A Note on Poly-Instanton Effects in Type IIB Orientifolds on Calabi-Yau Threefolds,

R. Blumenhagen, X. Gao, T. Rahn, and P. Shukla, “A Note on Poly-Instanton Effects in Type IIB Orientifolds on Calabi-Yau Threefolds,”JHEP06(2012) 162,1205.2485

work page arXiv 2012
[10]

Magnetized E3-brane instantons in F-theory

M. Bianchi, A. Collinucci, and L. Martucci, “Magnetized E3-brane instantons in F-theory,” JHEP12(2011) 045,1107.3732

work page Pith review arXiv 2011
[11]

Freezing E3-brane instantons with fluxes

M. Bianchi, A. Collinucci, and L. Martucci, “Freezing E3-brane instantons with fluxes,” Fortsch. Phys.60(2012) 914–920,1202.5045

work page Pith review arXiv 2012
[12]

Building an explicit de Sitter,

J. Louis, M. Rummel, R. Valandro, and A. Westphal, “Building an explicit de Sitter,”JHEP 10(2012) 163,1208.3208

work page arXiv 2012
[13]

Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking

J. P. Conlon, F. Quevedo, and K. Suruliz, “Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking,”JHEP08(2005) 007, hep-th/0505076

work page Pith review arXiv 2005
[14]

Kahler Moduli Inflation Revisited,

J. J. Blanco-Pillado, D. Buck, E. J. Copeland, M. Gomez-Reino, and N. J. Nunes, “Kahler Moduli Inflation Revisited,”JHEP01(2010) 081,0906.3711

work page arXiv 2010
[15]

Global Orientifolded Quivers with Inflation

M. Cicoli, I. Garcìa-Etxebarria, C. Mayrhofer, F. Quevedo, P. Shukla, and R. Valandro, “Global Orientifolded Quivers with Inflation,”JHEP11(2017) 134,1706.06128

work page Pith review arXiv 2017
[16]

Fibre Inflation: Observable Gravity Waves from IIB String Compactifications,

M. Cicoli, C. P. Burgess, and F. Quevedo, “Fibre Inflation: Observable Gravity Waves from IIB String Compactifications,”JCAP0903(2009) 013,0808.0691. 21 On Global Embedding of Assisted Fibre InflationGeorge K. Leontaris

work page arXiv 2009
[17]

𝛼′ Inflation: moduli stabilisation and observable tensors from higher derivatives,

M. Cicoli, D. Ciupke, S. de Alwis, and F. Muia, “𝛼′ Inflation: moduli stabilisation and observable tensors from higher derivatives,”JHEP09(2016) 026,1607.01395

work page arXiv 2016
[18]

Global Embedding of Fibre Inflation Models,

M. Cicoli, F. Muia, and P. Shukla, “Global Embedding of Fibre Inflation Models,”JHEP11 (2016) 182,1611.04612

work page arXiv 2016
[19]

Chiral Global Embedding of Fibre Inflation Models,

M. Cicoli, D. Ciupke, V. A. Diaz, V. Guidetti, F. Muia, and P. Shukla, “Chiral Global Embedding of Fibre Inflation Models,”JHEP11(2017) 207,1709.01518

work page arXiv 2017
[20]

Chiral global embedding of Fibre Inflation with $\overline{\rm D3}$ uplift

M. Cicoli, A. Grassi, O. Lacombe, and F. G. Pedro, “Chiral global embedding of Fibre Inflation withD3uplift,”JHEP06(2025) 090,2412.08723

work page internal anchor Pith review Pith/arXiv arXiv 2025
[21]

Poly-instanton Inflation,

M. Cicoli, F. G. Pedro, and G. Tasinato, “Poly-instanton Inflation,”JCAP12(2011) 022, 1110.6182

work page arXiv 2011
[22]

Moduli Stabilization and Inflationary Cosmology with Poly-Instantons in Type IIB Orientifolds,

R. Blumenhagen, X. Gao, T. Rahn, and P. Shukla, “Moduli Stabilization and Inflationary Cosmology with Poly-Instantons in Type IIB Orientifolds,”JHEP11(2012) 101, 1208.1160

work page arXiv 2012
[23]

On Non-Gaussianities in Two-Field Poly-Instanton Inflation,

X. Gao and P. Shukla, “On Non-Gaussianities in Two-Field Poly-Instanton Inflation,”JHEP 03(2013) 061,1301.6076

work page arXiv 2013
[24]

Cosmological observables in multi-field inflation with a non-flat field space,

X. Gao, T. Li, and P. Shukla, “Cosmological observables in multi-field inflation with a non-flat field space,”JCAP10(2014) 008,1403.0654

work page arXiv 2014
[25]

Loop blow-up inflation,

S. Bansal, L. Brunelli, M. Cicoli, A. Hebecker, and R. Kuespert, “Loop blow-up inflation,” JHEP07(2024) 289,2403.04831

work page arXiv 2024
[26]

Loop corrections to volume moduli and inflation in string theory,

M. Berg, M. Haack, and B. Kors, “Loop corrections to volume moduli and inflation in string theory,”Phys. Rev.D71(2005) 026005,hep-th/0404087

work page arXiv 2005
[27]

Kaehler Corrections for the Volume Modulus of Flux Compactifications

G. von Gersdorff and A. Hebecker, “Kahler corrections for the volume modulus of flux compactifications,”Phys. Lett. B624(2005) 270–274,hep-th/0507131

work page Pith review arXiv 2005
[28]

String Loop Corrections to Kahler Potentials in Orientifolds

M. Berg, M. Haack, and B. Kors, “String loop corrections to Kahler potentials in orientifolds,”JHEP11(2005) 030,hep-th/0508043

work page Pith review arXiv 2005
[29]

On volume stabilization by quantum corrections,

M. Berg, M. Haack, and B. Kors, “On volume stabilization by quantum corrections,”Phys. Rev. Lett.96(2006) 021601,hep-th/0508171

work page arXiv 2006
[30]

Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications,

M. Cicoli, J. P. Conlon, and F. Quevedo, “Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications,”JHEP01(2008) 052,0708.1873

work page arXiv 2008
[31]

Loops, local corrections and warping in the LVS and other type IIB models,

X. Gao, A. Hebecker, S. Schreyer, and G. Venken, “Loops, local corrections and warping in the LVS and other type IIB models,”JHEP09(2022) 091,2204.06009

work page arXiv 2022
[32]

Antoniadis, Y

I. Antoniadis, Y. Chen, and G. K. Leontaris, “Perturbative moduli stabilisation in type IIB/F-theory framework,”Eur. Phys. J.C78(2018), no. 9, 766,1803.08941. 22 On Global Embedding of Assisted Fibre InflationGeorge K. Leontaris

work page arXiv 2018
[33]

Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory,

I. Antoniadis, Y. Chen, and G. K. Leontaris, “Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory,”1909.10525

work page arXiv 1909
[34]

String loop corrections and de Sitter vacua,

I. Antoniadis, Y. Chen, and G. K. Leontaris, “String loop corrections and de Sitter vacua,” PoSCORFU2019(2020) 099

2020
[35]

Stabilising all Kähler moduli in perturbative LVS,

G. K. Leontaris and P. Shukla, “Stabilising all Kähler moduli in perturbative LVS,”JHEP07 (2022) 047,2203.03362

work page arXiv 2022
[36]

Higher-Derivative Supergravity and Moduli Stabilization,

D. Ciupke, J. Louis, and A. Westphal, “Higher-Derivative Supergravity and Moduli Stabilization,”JHEP10(2015) 094,1505.03092

work page arXiv 2015
[37]

Assisted Fibre Inflation in Perturbative LVS

G. K. Leontaris and P. Shukla, “Assisted Fibre Inflation in perturbative LVS,”JCAP10 (2025) 070,2506.22630

work page internal anchor Pith review Pith/arXiv arXiv 2025
[38]

Cicoli, D

M. Cicoli, D. Ciupke, C. Mayrhofer, and P. Shukla, “A Geometrical Upper Bound on the Inflaton Range,”JHEP05(2018) 001,1801.05434

work page arXiv 2018
[39]

Global embedding of fiber inflation in a perturbative large volume scenario,

S. Bera, D. Chakraborty, G. K. Leontaris, and P. Shukla, “Global embedding of fiber inflation in a perturbative large volume scenario,”Phys. Rev. D110(2024), no. 10, 106009, 2406.01694

work page arXiv 2024
[40]

On Classifying the Divisor Involutions in Calabi-Yau Threefolds,

X. Gao and P. Shukla, “On Classifying the Divisor Involutions in Calabi-Yau Threefolds,” JHEP1311(2013) 170,1307.1139

work page arXiv 2013
[41]

Classifying divisor topologies for string phenomenology,

P. Shukla, “Classifying divisor topologies for string phenomenology,”JHEP12(2022) 055, 2205.05215

work page arXiv 2022
[42]

Distributions of flux vacua

F. Denef and M. R. Douglas, “Distributions of flux vacua,”JHEP05(2004) 072, hep-th/0404116

work page arXiv 2004
[43]

Perturbative LVS and Inflation: A Review of Volume Modulus and Fibre Scenarios

G. K. Leontaris and P. Shukla, “Perturbative LVS and Inflation: A Review of Volume Modulus and Fibre Scenarios,”PoSCORFU2024(2025) 181,2505.01246

work page internal anchor Pith review Pith/arXiv arXiv 2025
[44]

K theory and Ramond-Ramond charge,

R. Minasian and G. W. Moore, “K theory and Ramond-Ramond charge,”JHEP11(1997) 002,hep-th/9710230

work page arXiv 1997
[45]

Anomalies in String Theory with D-Branes

D. S. Freed and E. Witten, “Anomalies in string theory with D-branes,”Asian J. Math.3 (1999) 819,hep-th/9907189

work page Pith review arXiv 1999
[46]

Crin` o, F

C. Crinò, F. Quevedo, and R. Valandro, “On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario,”JHEP03(2021) 258,2010.15903

work page arXiv 2021
[47]

On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes,

S. AbdusSalam, C. Crinò, and P. Shukla, “On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes,”JHEP03(2023) 132,2206.12889

work page arXiv 2023
[48]

De Sitter string vacua from supersymmetric D terms,

C. P. Burgess, R. Kallosh, and F. Quevedo, “De Sitter string vacua from supersymmetric D terms,”JHEP10(2003) 056,hep-th/0309187. 23 On Global Embedding of Assisted Fibre InflationGeorge K. Leontaris

work page arXiv 2003
[49]

De Sitter vacua from uplifting D-terms in effective supergravities from realistic strings,

A. Achucarro, B. de Carlos, J. A. Casas, and L. Doplicher, “De Sitter vacua from uplifting D-terms in effective supergravities from realistic strings,”JHEP06(2006) 014, hep-th/0601190

work page arXiv 2006
[50]

De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications,

A. P. Braun, M. Rummel, Y. Sumitomo, and R. Valandro, “De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications,”JHEP12 (2015) 033,1509.06918

work page arXiv 2015
[51]

De Sitter from T-branes,

M. Cicoli, F. Quevedo, and R. Valandro, “De Sitter from T-branes,”JHEP03(2016) 141, 1512.04558. [52]PlanckCollaboration, Y. Akramiet al., “Planck 2018 results. X. Constraints on inflation,” Astron. Astrophys.641(2020) A10,1807.06211

work page arXiv 2016
[52]

Liddle and S.M

A. R. Liddle and S. M. Leach, “How long before the end of inflation were observable perturbations produced?,”Phys. Rev. D68(2003) 103503,astro-ph/0305263

work page arXiv 2003
[53]

Fibre Inflation and Precision CMB Data,

S. Bhattacharya, K. Dutta, M. R. Gangopadhyay, A. Maharana, and K. Singh, “Fibre Inflation and Precision CMB Data,”Phys. Rev. D102(2020) 123531,2003.05969

work page arXiv 2020
[54]

Fitting string inflation to real cosmological data: The fiber inflation case,

M. Cicoli and E. Di Valentino, “Fitting string inflation to real cosmological data: The fiber inflation case,”Phys. Rev. D102(2020), no. 4, 043521,2004.01210. [56]PlanckCollaboration, N. Aghanimet al., “Planck 2018 results. VI. Cosmological parameters,”Astron. Astrophys.641(2020) A6,1807.06209. [Erratum: Astron.Astrophys. 652, C4 (2021)]. [57]ACTCollabora...

work page arXiv 2020
[55]

Frolovsky and S

D. Frolovsky and S. V. Ketov, “Are single-field models of inflation and PBH production ruled out by ACT observations?,”2505.17514

work page arXiv
[56]

A New Type of Isotropic Cosmological Models Without Singularity,

A. A. Starobinsky, “A New Type of Isotropic Cosmological Models Without Singularity,” Phys. Lett. B91(1980) 99–102

1980
[57]

Starobinsky inflation from string theory?,

M. Brinkmann, M. Cicoli, and P. Zito, “Starobinsky inflation from string theory?,”JHEP09 (2023) 038,2305.05703

work page arXiv 2023
[58]

Moduli Stabilisation and Applications in IIB String Theory,

J. P. Conlon, “Moduli Stabilisation and Applications in IIB String Theory,”Fortsch. Phys.55 (2007) 287–422,hep-th/0611039

work page arXiv 2007
[59]

Kaluza-Klein states versus winding states: Can both be above the string scale?,

K. R. Dienes and A. Mafi, “Kaluza-Klein states versus winding states: Can both be above the string scale?,”Phys. Rev. Lett.89(2002) 171602,hep-ph/0207009. 24

work page arXiv 2002