Abstract
Multifield models with a curved field space have already been shown to be able to provide viable quintessence models for steep potentials that satisfy swampland bounds. The simplest dynamical systems of this type are obtained by coupling Einstein gravity to two scalar fields with a curved field space. In this paper we study the stability properties of the non-trivial fixed points of this dynamical system for a general functional dependence of the kinetic coupling function and the scalar potential. We find the existence of non-geodesic trajectories with a sharp turning rate in field space which can give rise to late-time cosmic acceleration with no need for flat potentials. In particular, we discuss the properties of the phase diagram of the system and the corresponding time evolution when varying the functional dependence of the kinetic coupling. Interestingly, upon properly tuning the initial conditions of the field values, we find trajectories that can describe the current state of the universe. This could represent a promising avenue to build viable quintessence models out of the swampland if they could be consistently embedded in explicit string constructions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Supernova Search Team collaboration, Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J. 116 (1998) 1009 [astro-ph/9805201] [INSPIRE].
Boomerang collaboration, Cosmology from MAXIMA-1, BOOMERANG and COBE/DMR CMB observations, Phys. Rev. Lett. 86 (2001) 3475 [astro-ph/0007333] [INSPIRE].
SDSS collaboration, Cosmological parameters from SDSS and WMAP, Phys. Rev. D 69 (2004) 103501 [astro-ph/0310723] [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
A. Westphal, de Sitter string vacua from Kähler uplifting, JHEP 03 (2007) 102 [hep-th/0611332] [INSPIRE].
M. Cicoli, A. Maharana, F. Quevedo and C.P. Burgess, de Sitter String Vacua from Dilaton-dependent Non-perturbative Effects, JHEP 06 (2012) 011 [arXiv:1203.1750] [INSPIRE].
M. Cicoli, D. Klevers, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro, Explicit de Sitter Flux Vacua for Global String Models with Chiral Matter, JHEP 05 (2014) 001 [arXiv:1312.0014] [INSPIRE].
M. Cicoli, F. Quevedo and R. Valandro, de Sitter from T-branes, JHEP 03 (2016) 141 [arXiv:1512.04558] [INSPIRE].
D. Gallego, M.C.D. Marsh, B. Vercnocke and T. Wrase, A New Class of de Sitter Vacua in Type IIB Large Volume Compactifications, JHEP 10 (2017) 193 [arXiv:1707.01095] [INSPIRE].
J.J. Heckman, C. Lawrie, L. Lin and G. Zoccarato, F-theory and Dark Energy, Fortsch. Phys. 67 (2019) 1900057 [arXiv:1811.01959] [INSPIRE].
M. Cicoli, S. De Alwis, A. Maharana, F. Muia and F. Quevedo, de Sitter vs Quintessence in String Theory, Fortsch. Phys. 67 (2019) 1800079 [arXiv:1808.08967] [INSPIRE].
G. Obied, H. Ooguri, L. Spodyneiko and C. Vafa, de Sitter Space and the Swampland, arXiv:1806.08362 [INSPIRE].
S.K. Garg and C. Krishnan, Bounds on Slow Roll and the de Sitter Swampland, JHEP 11 (2019) 075 [arXiv:1807.05193] [INSPIRE].
T.D. Brennan, F. Carta and C. Vafa, The String Landscape, the Swampland, and the Missing Corner, PoS TASI2017 (2017) 015 [arXiv:1711.00864] [INSPIRE].
U.H. Danielsson and T. Van Riet, What if string theory has no de Sitter vacua?, Int. J. Mod. Phys. D 27 (2018) 1830007 [arXiv:1804.01120] [INSPIRE].
H. Ooguri, E. Palti, G. Shiu and C. Vafa, Distance and de Sitter Conjectures on the Swampland, Phys. Lett. B 788 (2019) 180 [arXiv:1810.05506] [INSPIRE].
D. Andriot, On the de Sitter swampland criterion, Phys. Lett. B 785 (2018) 570 [arXiv:1806.10999] [INSPIRE].
N. Kaloper and L. Sorbo, Of PNGB quintessence, JCAP 04 (2006) 007 [astro-ph/0511543] [INSPIRE].
N. Kaloper and L. Sorbo, Where in the String Landscape is Quintessence, Phys. Rev. D 79 (2009) 043528 [arXiv:0810.5346] [INSPIRE].
S. Panda, Y. Sumitomo and S.P. Trivedi, Axions as Quintessence in String Theory, Phys. Rev. D 83 (2011) 083506 [arXiv:1011.5877] [INSPIRE].
M. Cicoli, F.G. Pedro and G. Tasinato, Natural Quintessence in String Theory, JCAP 07 (2012) 044 [arXiv:1203.6655] [INSPIRE].
J. Blåbäck, U. Danielsson and G. Dibitetto, Accelerated Universes from type IIA Compactifications, JCAP 03 (2014) 003 [arXiv:1310.8300] [INSPIRE].
G. D’Amico, N. Kaloper and A. Lawrence, Strongly Coupled Quintessence, Phys. Rev. D 100 (2019) 103504 [arXiv:1809.05109] [INSPIRE].
Y. Akrami, R. Kallosh, A. Linde and V. Vardanyan, The Landscape, the Swampland and the Era of Precision Cosmology, Fortsch. Phys. 67 (2019) 1800075 [arXiv:1808.09440] [INSPIRE].
D.M. Scolnic et al., The Complete Light-curve Sample of Spectroscopically Confirmed SNe Ia from Pan-STARRS1 and Cosmological Constraints from the Combined Pantheon Sample, Astrophys. J. 859 (2018) 101 [arXiv:1710.00845] [INSPIRE].
P. Agrawal, G. Obied, P.J. Steinhardt and C. Vafa, On the Cosmological Implications of the String Swampland, Phys. Lett. B 784 (2018) 271 [arXiv:1806.09718] [INSPIRE].
B.S. Acharya, A. Maharana and F. Muia, Hidden Sectors in String Theory: Kinetic Mixings, Fifth Forces and Quintessence, JHEP 03 (2019) 048 [arXiv:1811.10633] [INSPIRE].
M. Cicoli, G. Dibitetto and F.G. Pedro, New accelerating solutions in late-time cosmology, Phys. Rev. D 101 (2020) 103524 [arXiv:2002.02695] [INSPIRE].
A.R. Brown, Hyperbolic Inflation, Phys. Rev. Lett. 121 (2018) 251601 [arXiv:1705.03023] [INSPIRE].
A. Achúucarro and G.A. Palma, The string swampland constraints require multi-field inflation, JCAP 02 (2019) 041 [arXiv:1807.04390] [INSPIRE].
P. Christodoulidis, D. Roest and E.I. Sfakianakis, Scaling attractors in multi-field inflation, JCAP 12 (2019) 059 [arXiv:1903.06116] [INSPIRE].
S. Brahma and M.W. Hossain, Dark energy beyond quintessence: Constraints from the swampland, JHEP 06 (2019) 070 [arXiv:1902.11014] [INSPIRE].
S. Brahma and M.W. Hossain, Consistency of cubic Galileon cosmology: Model-independent bounds from Pantheon data, arXiv:2007.06425 [INSPIRE].
J. Sonner and P.K. Townsend, Recurrent acceleration in dilaton-axion cosmology, Phys. Rev. D 74 (2006) 103508 [hep-th/0608068] [INSPIRE].
J.G. Russo and P.K. Townsend, Late-time Cosmic Acceleration from Compactification, Class. Quant. Grav. 36 (2019) 095008 [arXiv:1811.03660] [INSPIRE].
E.J. Copeland, A.R. Liddle and D. Wands, Exponential potentials and cosmological scaling solutions, Phys. Rev. D 57 (1998) 4686 [gr-qc/9711068] [INSPIRE].
P. Svřcek and E. Witten, Axions In String Theory, JHEP 06 (2006) 051 [hep-th/0605206] [INSPIRE].
A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper and J. March-Russell, String Axiverse, Phys. Rev. D 81 (2010) 123530 [arXiv:0905.4720] [INSPIRE].
M. Cicoli, M. Goodsell and A. Ringwald, The type IIB string axiverse and its low-energy phenomenology, JHEP 10 (2012) 146 [arXiv:1206.0819] [INSPIRE].
S. Bahamonde, C.G. Böhmer, S. Carloni, E.J. Copeland, W. Fang and N. Tamanini, Dynamical systems applied to cosmology: dark energy and modified gravity, Phys. Rept. 775-777 (2018) 1 [arXiv:1712.03107] [INSPIRE].
A. Banerjee, H. Cai, L. Heisenberg, E.O. Colgáin, M.M. Sheikh-Jabbari and T. Yang, Hubble Sinks In The Low-Redshift Swampland, arXiv:2006.00244 [INSPIRE].
A.G. Riess et al., A 2.4% Determination of the Local Value of the Hubble Constant, Astrophys. J. 826 (2016) 56 [arXiv:1604.01424] [INSPIRE].
M. Cicoli, J.P. Conlon and F. Quevedo, Dark radiation in LARGE volume models, Phys. Rev. D 87 (2013) 043520 [arXiv:1208.3562] [INSPIRE].
M. Cicoli and F. Muia, General Analysis of Dark Radiation in Sequestered String Models, JHEP 12 (2015) 152 [arXiv:1511.05447] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2007.11011
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Cicoli, M., Dibitetto, G. & Pedro, F.G. Out of the swampland with multifield quintessence?. J. High Energ. Phys. 2020, 35 (2020). https://doi.org/10.1007/JHEP10(2020)035
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2020)035