Built on

D. Andriot, “Open problems on classical de Sitter solutions,” Fortsch. Phys
Original
1902
Earlier work this paper cites.
A. Joshi and A. Klemm, “Swampland Distance Conjecture for One-Parameter Calabi-Yau Threefolds,” JHEP
Original
1903
Earlier work this paper cites.
S.-J. Lee, W. Lerche, and T. Weigand, “Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields,” arXiv:1904.06344 [hep-th]
Original
1904
Earlier work this paper cites.
F. Marchesano and M. Wiesner, “Instantons and infinite distances,” JHEP
Original
1904
Earlier work this paper cites.
D. Erkinger and J. Knapp, “Refined swampland distance conjecture and exotic hybrid Calabi-Yaus,” JHEP
Original
1905
Earlier work this paper cites.
P. Agrawal, G. Obied, and C. Vafa, “ H 0 H_{0} tension, swampland conjectures, and the epoch of fading dark matter,” Phys. Rev. D
Original
1906
Earlier work this paper cites.
A. Bedroya and C. Vafa, “Trans-Planckian Censorship and the Swampland,” JHEP
Original
1909
Earlier work this paper cites.
S.-J. Lee, W. Lerche, and T. Weigand, “Emergent Strings from Infinite Distance Limits,” arXiv:1910.01135 [hep-th]
Original
1910
Earlier work this paper cites.
F. Baume, F. Marchesano, and M. Wiesner, “Instanton Corrections and Emergent Strings,” JHEP
Original
1912
Earlier work this paper cites.
S. Tsujikawa, “Quintessence: A Review,” Class. Quant. Grav
Original
1961
Earlier work this paper cites.
S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys. Rev
1977
Earlier work this paper cites.
M. Dine and N. Seiberg, “Is the Superstring Weakly Coupled?,” Phys. Lett
1985
Earlier work this paper cites.
L. Alvarez-Gaume, P. H. Ginsparg, G. W. Moore, and C. Vafa, “An O(16) x O(16) Heterotic String,” Phys. Lett. B
1986
Earlier work this paper cites.
E. J. Copeland, A. R. Liddle, and D. Wands, “Exponential potentials and cosmological scaling solutions,” Phys. Rev. D
1998
Earlier work this paper cites.

Similar

S. Hellerman, N. Kaloper, and L. Susskind, “String theory and quintessence,” JHEP
2001
Cited alongside, same era.
M. Enríquez Rojo and E. Plauschinn, “Swampland conjectures for type IIB orientifolds with closed-string U(1)s,” JHEP
Original
2002
Cited alongside, same era.
L. Dyson, M. Kleban, and L. Susskind, “Disturbing implications of a cosmological constant,” JHEP
2002
Cited alongside, same era.
D. Andriot, N. Cribiori, and D. Erkinger, “The web of swampland conjectures and the TCC bound,” JHEP
Original
2004
Cited alongside, same era.
R. Bousso, “Cosmology and the S-matrix,” Phys. Rev. D
2005
Cited alongside, same era.

Then

R. Bousso, “Vacuum Structure and the Arrow of Time,” Phys. Rev. D
Original
2012
Later among the works it cites.
M. Dodelson, X. Dong, E. Silverstein, and G. Torroba, “New solutions with accelerated expansion in string theory,” JHEP
Original
2014
Later among the works it cites.
D. Klaewer and E. Palti, “Super-Planckian Spatial Field Variations and Quantum Gravity,” JHEP
Original
2017
Later among the works it cites.
M. Cicoli, D. Ciupke, V. A. Diaz, V. Guidetti, F. Muia, and P. Shukla, “Chiral Global Embedding of Fibre Inflation Models,” JHEP
Original
2017
Later among the works it cites.
R. Blumenhagen, D. Kläwer, L. Schlechter, and F. Wolf, “The Refined Swampland Distance Conjecture in Calabi-Yau Moduli Spaces,” JHEP

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2022

Asymptotic Scalar Field Cosmology in String Theory

Rudelius, Tom

Understand

Asymptotic (late-time) cosmology depends on the asymptotic (infinite-distance) limits of scalar field space in string theory.

Such limits feature an exponentially decaying potential $V \sim \exp(- c \phi)$ with corresponding Hubble scale $H \sim \sqrt{\dot \phi^2 + 2 V} \sim \exp(- \lambda_H \phi)$, and at least one tower of particles whose masses scale as $m \sim \exp( - \lambda \phi)$, as required by the Distance Conjecture.
In this paper, we provide evidence that these coefficients satisfy the inequalities $\sqrt{(d-1)/(d-2)} \geq \lambda_H \geq \lambda_{\text{lightest}} \geq 1/\sqrt{d-2}$ in $d$ spacetime dimensions, where $\lambda_{\text{lightest}}$ is the $\lambda$ coefficient of the lightest tower.
This means that at late times, as the scalar field rolls to $\phi \rightarrow \infty$, the low-energy theory remains a $d$-dimensional FRW cosmology with decelerated expansion, the light towers of particles predicted by the Distance Conjecture remain at or above the Hubble scale, and both the strong energy condition and the dominant energy condition are satisfied.

Built on

D. Andriot, “Open problems on classical de Sitter solutions,” Fortsch. Phys
Original
1902
Earlier work this paper cites.
A. Joshi and A. Klemm, “Swampland Distance Conjecture for One-Parameter Calabi-Yau Threefolds,” JHEP
Original
1903
Earlier work this paper cites.
S.-J. Lee, W. Lerche, and T. Weigand, “Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields,” arXiv:1904.06344 [hep-th]
Original
1904
Earlier work this paper cites.
F. Marchesano and M. Wiesner, “Instantons and infinite distances,” JHEP
Original
1904
Earlier work this paper cites.
D. Erkinger and J. Knapp, “Refined swampland distance conjecture and exotic hybrid Calabi-Yaus,” JHEP
Original
1905
Earlier work this paper cites.
P. Agrawal, G. Obied, and C. Vafa, “ H 0 H_{0} tension, swampland conjectures, and the epoch of fading dark matter,” Phys. Rev. D
Original
1906
Earlier work this paper cites.
A. Bedroya and C. Vafa, “Trans-Planckian Censorship and the Swampland,” JHEP
Original
1909
Earlier work this paper cites.
S.-J. Lee, W. Lerche, and T. Weigand, “Emergent Strings from Infinite Distance Limits,” arXiv:1910.01135 [hep-th]
Original
1910
Earlier work this paper cites.
F. Baume, F. Marchesano, and M. Wiesner, “Instanton Corrections and Emergent Strings,” JHEP
Original
1912
Earlier work this paper cites.
S. Tsujikawa, “Quintessence: A Review,” Class. Quant. Grav
Original
1961
Earlier work this paper cites.
S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys. Rev
1977
Earlier work this paper cites.
M. Dine and N. Seiberg, “Is the Superstring Weakly Coupled?,” Phys. Lett
1985
Earlier work this paper cites.
L. Alvarez-Gaume, P. H. Ginsparg, G. W. Moore, and C. Vafa, “An O(16) x O(16) Heterotic String,” Phys. Lett. B
1986
Earlier work this paper cites.
E. J. Copeland, A. R. Liddle, and D. Wands, “Exponential potentials and cosmological scaling solutions,” Phys. Rev. D
1998
Earlier work this paper cites.

Similar

S. Hellerman, N. Kaloper, and L. Susskind, “String theory and quintessence,” JHEP
2001
Cited alongside, same era.
M. Enríquez Rojo and E. Plauschinn, “Swampland conjectures for type IIB orientifolds with closed-string U(1)s,” JHEP
Original
2002
Cited alongside, same era.
L. Dyson, M. Kleban, and L. Susskind, “Disturbing implications of a cosmological constant,” JHEP
2002
Cited alongside, same era.
D. Andriot, N. Cribiori, and D. Erkinger, “The web of swampland conjectures and the TCC bound,” JHEP
Original
2004
Cited alongside, same era.
R. Bousso, “Cosmology and the S-matrix,” Phys. Rev. D
2005
Cited alongside, same era.