Built on

M. Dine, N. Seiberg and E. Witten, Fayet-Iliopoulos Terms in String Theory , Nucl. Phys. B289
1987
Earlier work this paper cites.
M. Dine, I. Ichinose and N. Seiberg, F Terms and d Terms in String Theory , Nucl. Phys. B293
1987
Earlier work this paper cites.
S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four folds , Nucl. Phys. B584
2000
Earlier work this paper cites.
M. Kreuzer and H. Skarke, Complete classification of reflexive polyhedra in four-dimensions , Adv. Theor. Math. Phys. 4
2002
Earlier work this paper cites.
K. Becker, M. Becker, M. Haack and J. Louis, Supersymmetry breaking and alpha-prime corrections to flux induced potentials , JHEP 06
2002
Earlier work this paper cites.
S. B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications , Phys. Rev. D66
2002
Earlier work this paper cites.
S. Kachru, R. Kallosh, A. D. Linde and S. P. Trivedi, De Sitter vacua in string theory , Phys. Rev. D68
2003
Earlier work this paper cites.
T. W. Grimm and J. Louis, The Effective action of N = 1 Calabi-Yau orientifolds , Nucl. Phys. B699
2004
Earlier work this paper cites.
V. Balasubramanian, P. Berglund, J. P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications , JHEP 03
2005
Earlier work this paper cites.
K. Bobkov, Volume stabilization via alpha-prime corrections in type IIB theory with fluxes , JHEP 05
2005
Earlier work this paper cites.
M. Berg, M. Haack and B. Kors, String loop corrections to Kahler potentials in orientifolds , JHEP 11
2005
Earlier work this paper cites.
J. P. Conlon and F. Quevedo, Kahler moduli inflation , JHEP 01
2006
Earlier work this paper cites.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force , JHEP 06
2007
Earlier work this paper cites.
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland , Nucl. Phys. B766
2007
Earlier work this paper cites.
M. Berg, M. Haack and E. Pajer, Jumping Through Loops: On Soft Terms from Large Volume Compactifications , JHEP 09
Original
2007
Earlier work this paper cites.
M. Cicoli, J. P. Conlon and F. Quevedo, General Analysis of LARGE Volume Scenarios with String Loop Moduli Stabilisation , JHEP 10
Original
2008
Earlier work this paper cites.
M. Cicoli, J. P. Conlon and F. Quevedo, Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications , JHEP 01
Original
2008
Earlier work this paper cites.
R. Blumenhagen and M. Schmidt-Sommerfeld, Power Towers of String Instantons for N=1 Vacua , JHEP 07
Original
2008
Earlier work this paper cites.
M. Cicoli, C. P. Burgess and F. Quevedo, Fibre Inflation: Observable Gravity Waves from IIB String Compactifications , JCAP 0903
Original
2009
Earlier work this paper cites.
R. Blumenhagen, B. Jurke, T. Rahn and H. Roschy, Cohomology of Line Bundles: A Computational Algorithm , J. Math. Phys. 51
Original
2010
Earlier work this paper cites.
C. P. Burgess, M. Cicoli, M. Gomez-Reino, F. Quevedo, G. Tasinato and I. Zavala, Non-standard primordial fluctuations and nongaussianity in string inflation , JHEP 08
Original
2010
Earlier work this paper cites.

Similar

M. Cicoli and F. Quevedo, String moduli inflation: An overview , Class. Quant. Grav. 28
Original
2011
Cited alongside, same era.
M. Cicoli, F. G. Pedro and G. Tasinato, Poly-instanton Inflation , JCAP 1112
Original
2011
Cited alongside, same era.
M. Bianchi, A. Collinucci and L. Martucci, Magnetized E3-brane instantons in F-theory , JHEP 12
Original
2011
Cited alongside, same era.
R. Blumenhagen, B. Jurke and T. Rahn, Computational Tools for Cohomology of Toric Varieties , Adv. High Energy Phys. 2011
Original
2011
Cited alongside, same era.
M. Cicoli, A. Maharana, F. Quevedo and C. P. Burgess, De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects , JHEP 06

Then

B. Heidenreich, M. Reece and T. Rudelius, Weak Gravity Strongly Constrains Large-Field Axion Inflation , JHEP 12
Original
2015
Later among the works it cites.
J. Brown, W. Cottrell, G. Shiu and P. Soler, Fencing in the Swampland: Quantum Gravity Constraints on Large Field Inflation , JHEP 10
Original
2015
Later among the works it cites.
M. Cicoli, F. Muia and F. G. Pedro, Microscopic Origin of Volume Modulus Inflation , JCAP 1512
Original
2015
Later among the works it cites.
D. Ciupke, J. Louis and A. Westphal, Higher-Derivative Supergravity and Moduli Stabilization , JHEP 10
Original
2015
Later among the works it cites.
D. Klevers, D. K. Mayorga Pena, P.-K. Oehlmann, H. Piragua and J. Reuter, F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches , JHEP 01

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2018

A Geometrical Upper Bound on the Inflaton Range

Cicoli, Michele, Ciupke, David, Mayrhofer, Christoph et al.

Understand

We argue that in type IIB LVS string models, after including the leading order moduli stabilisation effects, the moduli space for the remaining flat directions is compact due the Calabi-Yau K\"ahler cone conditions.

In cosmological applications, this gives an inflaton field range which is bounded from above, in analogy with recent results from the weak gravity and swampland conjectures.
We support our claim by explicitly showing that it holds for all LVS vacua with $h^{1,1} = 3$ obtained from 4-dimensional reflexive polytopes.
In particular, we first search for all Calabi-Yau threefolds from the Kreuzer-Skarke list with $h^{1,1}=2$, $3$ and $4$ which allow for LVS vacua, finding several new LVS geometries which were so far unknown.

Built on

M. Dine, N. Seiberg and E. Witten, Fayet-Iliopoulos Terms in String Theory , Nucl. Phys. B289
1987
Earlier work this paper cites.
M. Dine, I. Ichinose and N. Seiberg, F Terms and d Terms in String Theory , Nucl. Phys. B293
1987
Earlier work this paper cites.
S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four folds , Nucl. Phys. B584
2000
Earlier work this paper cites.
M. Kreuzer and H. Skarke, Complete classification of reflexive polyhedra in four-dimensions , Adv. Theor. Math. Phys. 4
2002
Earlier work this paper cites.
K. Becker, M. Becker, M. Haack and J. Louis, Supersymmetry breaking and alpha-prime corrections to flux induced potentials , JHEP 06
2002
Earlier work this paper cites.
S. B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications , Phys. Rev. D66
2002
Earlier work this paper cites.
S. Kachru, R. Kallosh, A. D. Linde and S. P. Trivedi, De Sitter vacua in string theory , Phys. Rev. D68
2003
Earlier work this paper cites.
T. W. Grimm and J. Louis, The Effective action of N = 1 Calabi-Yau orientifolds , Nucl. Phys. B699
2004
Earlier work this paper cites.
V. Balasubramanian, P. Berglund, J. P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications , JHEP 03
2005
Earlier work this paper cites.
K. Bobkov, Volume stabilization via alpha-prime corrections in type IIB theory with fluxes , JHEP 05
2005
Earlier work this paper cites.
M. Berg, M. Haack and B. Kors, String loop corrections to Kahler potentials in orientifolds , JHEP 11
2005
Earlier work this paper cites.
J. P. Conlon and F. Quevedo, Kahler moduli inflation , JHEP 01
2006
Earlier work this paper cites.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force , JHEP 06
2007
Earlier work this paper cites.
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland , Nucl. Phys. B766
2007
Earlier work this paper cites.
M. Berg, M. Haack and E. Pajer, Jumping Through Loops: On Soft Terms from Large Volume Compactifications , JHEP 09
Original
2007
Earlier work this paper cites.
M. Cicoli, J. P. Conlon and F. Quevedo, General Analysis of LARGE Volume Scenarios with String Loop Moduli Stabilisation , JHEP 10
Original
2008
Earlier work this paper cites.
M. Cicoli, J. P. Conlon and F. Quevedo, Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications , JHEP 01
Original
2008
Earlier work this paper cites.
R. Blumenhagen and M. Schmidt-Sommerfeld, Power Towers of String Instantons for N=1 Vacua , JHEP 07
Original
2008
Earlier work this paper cites.
M. Cicoli, C. P. Burgess and F. Quevedo, Fibre Inflation: Observable Gravity Waves from IIB String Compactifications , JCAP 0903
Original
2009
Earlier work this paper cites.
R. Blumenhagen, B. Jurke, T. Rahn and H. Roschy, Cohomology of Line Bundles: A Computational Algorithm , J. Math. Phys. 51
Original
2010
Earlier work this paper cites.
C. P. Burgess, M. Cicoli, M. Gomez-Reino, F. Quevedo, G. Tasinato and I. Zavala, Non-standard primordial fluctuations and nongaussianity in string inflation , JHEP 08
Original
2010
Earlier work this paper cites.