Abstract
We discuss the properties of massive type IIA flux compactifications. In particular, we investigate in which case one can obtain dS vacua at large volume and small coupling. We support a general discussion of scaling symmetries with the analysis of a concrete example. We find that the large volume and weak coupling limit requires a large number of O6-planes. Since these are bound for any given compactification space one cannot get arbitrarily good control over α′ and string loop corrections.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Obied, H. Ooguri, L. Spodyneiko and C. Vafa, de Sitter Space and the Swampland, arXiv:1806.08362 [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].
D. Andriot, On the de Sitter swampland criterion, Phys. Lett. B 785 (2018) 570 [arXiv:1806.10999] [INSPIRE].
G. Dvali and C. Gomez, On Exclusion of Positive Cosmological Constant, Fortsch. Phys. 67 (2019) 1800092 [arXiv:1806.10877] [INSPIRE].
A. Achúcarro and G.A. Palma, The string swampland constraints require multi-field inflation, JCAP 02 (2019) 041 [arXiv:1807.04390] [INSPIRE].
S.K. Garg and C. Krishnan, Bounds on Slow Roll and the de Sitter Swampland, arXiv:1807.05193 [INSPIRE].
J.-L. Lehners, Small-Field and Scale-Free: Inflation and Ekpyrosis at their Extremes, JCAP 11 (2018) 001 [arXiv:1807.05240] [INSPIRE].
A. Kehagias and A. Riotto, A note on Inflation and the Swampland, Fortsch. Phys. 66 (2018) 1800052 [arXiv:1807.05445] [INSPIRE].
M. Dias, J. Frazer, A. Retolaza and A. Westphal, Primordial Gravitational Waves and the Swampland, Fortsch. Phys. 67 (2019) 1800063 [arXiv:1807.06579] [INSPIRE].
F. Denef, A. Hebecker and T. Wrase, de Sitter swampland conjecture and the Higgs potential, Phys. Rev. D 98 (2018) 086004 [arXiv:1807.06581] [INSPIRE].
E. Ó. Colgáin, M.H.P.M. Van Putten and H. Yavartanoo, Observational consequences of H 0 tension in de Sitter Swampland, arXiv:1807.07451 [INSPIRE].
S. Paban and R. Rosati, Inflation in Multi-field Modified DBM Potentials, JCAP 09 (2018) 042 [arXiv:1807.07654] [INSPIRE].
C. Roupec and T. Wrase, de Sitter Extrema and the Swampland, Fortsch. Phys. 67 (2019) 1800082 [arXiv:1807.09538] [INSPIRE].
D. Andriot, New constraints on classical de Sitter: flirting with the swampland, Fortsch. Phys. 67 (2019) 1800103 [arXiv:1807.09698] [INSPIRE].
H. Matsui and F. Takahashi, Eternal Inflation and Swampland Conjectures, Phys. Rev. D 99 (2019) 023533 [arXiv:1807.11938] [INSPIRE].
I. Ben-Dayan, Draining the Swampland, arXiv:1808.01615 [INSPIRE].
L. Heisenberg, M. Bartelmann, R. Brandenberger and A. Refregier, Dark Energy in the Swampland, Phys. Rev. D 98 (2018) 123502 [arXiv:1808.02877] [INSPIRE].
C. Damian and O. Loaiza-Brito, Two-Field Axion Inflation and the Swampland Constraint in the Flux-Scaling Scenario, Fortsch. Phys. 67 (2019) 1800072 [arXiv:1808.03397] [INSPIRE].
J.P. Conlon, The de Sitter swampland conjecture and supersymmetric AdS vacua, Int. J. Mod. Phys. A 33 (2018) 1850178 [arXiv:1808.05040] [INSPIRE].
W.H. Kinney, S. Vagnozzi and L. Visinelli, The Zoo Plot Meets the Swampland: Mutual (In)Consistency of Single-Field Inflation, String Conjectures and Cosmological Data, arXiv:1808.06424 [INSPIRE].
K. Dasgupta, M. Emelin, E. McDonough and R. Tatar, Quantum Corrections and the de Sitter Swampland Conjecture, JHEP 01 (2019) 145 [arXiv:1808.07498] [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].
S. Kachru and S.P. Trivedi, A comment on effective field theories of flux vacua, Fortsch. Phys. 67 (2019) 1800086 [arXiv:1808.08971] [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].
H. Murayama, M. Yamazaki and T.T. Yanagida, Do We Live in the Swampland?, JHEP 12 (2018) 032 [arXiv:1809.00478] [INSPIRE].
M.C. David Marsh, The Swampland, Quintessence and the Vacuum Energy, Phys. Lett. B 789 (2019) 639 [arXiv:1809.00726] [INSPIRE].
S. Brahma and M. Wali Hossain, Avoiding the string swampland in single-field inflation: Excited initial states, JHEP 03 (2019) 006 [arXiv:1809.01277] [INSPIRE].
K. Choi, D. Chway and C.S. Shin, The dS swampland conjecture with the electroweak symmetry and QCD chiral symmetry breaking, JHEP 11 (2018) 142 [arXiv:1809.01475] [INSPIRE].
U. Danielsson, The quantum swampland, arXiv:1809.04512 [INSPIRE].
G. D’Amico, N. Kaloper and A. Lawrence, Strongly Coupled Quintessence, arXiv:1809.05109 [INSPIRE].
C. Han, S. Pi and M. Sasaki, Quintessence Saves Higgs Instability, arXiv:1809.05507 [INSPIRE].
J. Moritz, A. Retolaza and A. Westphal, On uplifts by warped anti-D3-branes, Fortsch. Phys. 67 (2019) 1800098 [arXiv:1809.06618] [INSPIRE].
J. Halverson and F. Ruehle, Computational Complexity of Vacua and Near-Vacua in Field and String Theory, Phys. Rev. D 99 (2019) 046015 [arXiv:1809.08279] [INSPIRE].
J. Ellis, B. Nagaraj, D.V. Nanopoulos and K.A. Olive, de Sitter Vacua in No-Scale Supergravity, JHEP 11 (2018) 110 [arXiv:1809.10114] [INSPIRE].
L. Anguelova, E.M. Babalic and C.I. Lazaroiu, Two-field Cosmological α-attractors with Noether Symmetry, arXiv:1809.10563 [INSPIRE].
C.-M. Lin, K.-W. Ng and K. Cheung, Chaotic inflation on the brane and the Swampland Criteria, arXiv:1810.01644 [INSPIRE].
K. Hamaguchi, M. Ibe and T. Moroi, The swampland conjecture and the Higgs expectation value, JHEP 12 (2018) 023 [arXiv:1810.02095] [INSPIRE].
A. Ashoorioon, Rescuing Single Field Inflation from the Swampland, Phys. Lett. B 790 (2019) 568 [arXiv:1810.04001] [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].
S.-J. Wang, Electroweak relaxation of cosmological hierarchy, Phys. Rev. D 99 (2019) 023529 [arXiv:1810.06445] [INSPIRE].
H. Fukuda, R. Saito, S. Shirai and M. Yamazaki, Phenomenological Consequences of the Refined Swampland Conjecture, arXiv:1810.06532 [INSPIRE].
A. Hebecker and T. Wrase, The Asymptotic dS Swampland Conjecture — A Simplified Derivation and a Potential Loophole, Fortsch. Phys. 67 (2019) 1800097 [arXiv:1810.08182] [INSPIRE].
F.F. Gautason, V. Van Hemelryck and T. Van Riet, The Tension between 10D Supergravity and dS Uplifts, Fortsch. Phys. 67 (2019) 1800091 [arXiv:1810.08518] [INSPIRE].
Y. Olguin-Trejo, S.L. Parameswaran, G. Tasinato and I. Zavala, Runaway Quintessence, Out of the Swampland, JCAP 01 (2019) 031 [arXiv:1810.08634] [INSPIRE].
S.K. Garg, C. Krishnan and M. Zaid, Bounds on Slow Roll at the Boundary of the Landscape, arXiv:1810.09406 [INSPIRE].
G. Dvali, C. Gomez and S. Zell, Quantum Breaking Bound on de Sitter and Swampland, Fortsch. Phys. 67 (2019) 1800094 [arXiv:1810.11002] [INSPIRE].
S.C. Park, Minimal gauge inflation and the refined Swampland conjecture, JCAP 01 (2019) 053 [arXiv:1810.11279] [INSPIRE].
P. Agrawal and G. Obied, Dark Energy and the Refined de Sitter Conjecture, arXiv:1811.00554 [INSPIRE].
J.J. Heckman, C. Lawrie, L. Lin and G. Zoccarato, F-theory and Dark Energy, arXiv:1811.01959 [INSPIRE].
Z. Yi and Y. Gong, Gauss-Bonnet inflation and swampland, arXiv:1811.01625 [INSPIRE].
C.-I. Chiang, J.M. Leedom and H. Murayama, What does Inflation say about Dark Energy given the Swampland Conjectures?, arXiv:1811.01987 [INSPIRE].
D.Y. Cheong, S.M. Lee and S.C. Park, Higgs Inflation and the Refined dS Conjecture, Phys. Lett. B 789 (2019) 336 [arXiv:1811.03622] [INSPIRE].
M. Ibe, M. Yamazaki and T.T. Yanagida, Quintessence Axion from Swampland Conjectures, arXiv:1811.04664 [INSPIRE].
J.J. Blanco-Pillado, M.A. Urkiola and J.M. Wachter, Racetrack Potentials and the de Sitter Swampland Conjectures, JHEP 01 (2019) 187 [arXiv:1811.05463] [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].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [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].
T. Van Riet, On classical de Sitter solutions in higher dimensions, Class. Quant. Grav. 29 (2012) 055001 [arXiv:1111.3154] [INSPIRE].
J. Moritz, A. Retolaza and A. Westphal, Toward de Sitter space from ten dimensions, Phys. Rev. D 97 (2018) 046010 [arXiv:1707.08678] [INSPIRE].
S. Sethi, Supersymmetry Breaking by Fluxes, JHEP 10 (2018) 022 [arXiv:1709.03554] [INSPIRE].
R. Kallosh, A. Linde, E. McDonough and M. Scalisi, de Sitter Vacua with a Nilpotent Superfield, Fortsch. Phys. 67 (2019) 1800068 [arXiv:1808.09428] [INSPIRE].
R. Kallosh, A. Linde, E. McDonough and M. Scalisi, 4D models of de Sitter uplift, Phys. Rev. D 99 (2019) 046006 [arXiv:1809.09018] [INSPIRE].
I. Bena, M. Graña and N. Halmagyi, On the Existence of Meta-stable Vacua in Klebanov-Strassler, JHEP 09 (2010) 087 [arXiv:0912.3519] [INSPIRE].
J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018] [INSPIRE].
T. Wrase and M. Zagermann, On Classical de Sitter Vacua in String Theory, Fortsch. Phys. 58 (2010) 906 [arXiv:1003.0029] [INSPIRE].
M.P. Hertzberg, S. Kachru, W. Taylor and M. Tegmark, Inflationary Constraints on Type IIA String Theory, JHEP 12 (2007) 095 [arXiv:0711.2512] [INSPIRE].
D. Andriot and J. Blåbäck, Refining the boundaries of the classical de Sitter landscape, JHEP 03 (2017) 102 [Erratum ibid. 03 (2018) 083] [arXiv:1609.00385] [INSPIRE].
D. Andriot, On classical de Sitter and Minkowski solutions with intersecting branes, JHEP 03 (2018) 054 [arXiv:1710.08886] [INSPIRE].
C. Caviezel, P. Koerber, S. Körs, D. Lüst, T. Wrase and M. Zagermann, On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds, JHEP 04 (2009) 010 [arXiv:0812.3551] [INSPIRE].
R. Flauger, S. Paban, D. Robbins and T. Wrase, Searching for slow-roll moduli inflation in massive type IIA supergravity with metric fluxes, Phys. Rev. D 79 (2009) 086011 [arXiv:0812.3886] [INSPIRE].
U.H. Danielsson, S.S. Haque, G. Shiu and T. Van Riet, Towards Classical de Sitter Solutions in String Theory, JHEP 09 (2009) 114 [arXiv:0907.2041] [INSPIRE].
C. Caviezel, T. Wrase and M. Zagermann, Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds, JHEP 04 (2010) 011 [arXiv:0912.3287] [INSPIRE].
U.H. Danielsson, P. Koerber and T. Van Riet, Universal de Sitter solutions at tree-level, JHEP 05 (2010) 090 [arXiv:1003.3590] [INSPIRE].
D. Andriot, E. Goi, R. Minasian and M. Petrini, Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory, JHEP 05 (2011) 028 [arXiv:1003.3774] [INSPIRE].
M. Petrini, G. Solard and T. Van Riet, AdS vacua with scale separation from IIB supergravity, JHEP 11 (2013) 010 [arXiv:1308.1265] [INSPIRE].
G. Shiu and Y. Sumitomo, Stability Constraints on Classical de Sitter Vacua, JHEP 09 (2011) 052 [arXiv:1107.2925] [INSPIRE].
U.H. Danielsson, G. Shiu, T. Van Riet and T. Wrase, A note on obstinate tachyons in classical dS solutions, JHEP 03 (2013) 138 [arXiv:1212.5178] [INSPIRE].
D. Junghans, Tachyons in Classical de Sitter Vacua, JHEP 06 (2016) 132 [arXiv:1603.08939] [INSPIRE].
D. Junghans and M. Zagermann, A Universal Tachyon in Nearly No-scale de Sitter Compactifications, JHEP 07 (2018) 078 [arXiv:1612.06847] [INSPIRE].
R. Kallosh and T. Wrase, dS Supergravity from 10d, Fortsch. Phys. 67 (2019) 1800071 [arXiv:1808.09427] [INSPIRE].
J. Blåbäck, U. Danielsson and G. Dibitetto, A new light on the darkest corner of the landscape, arXiv:1810.11365 [INSPIRE].
D. Junghans, Weakly Coupled de Sitter Vacua with Fluxes and the Swampland, arXiv:1811.06990 [INSPIRE].
O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization, JHEP 07 (2005) 066 [hep-th/0505160] [INSPIRE].
P.G.O. Freund and M.A. Rubin, Dynamics of Dimensional Reduction, Phys. Lett. B 97 (1980) 233 [INSPIRE].
F.F. Gautason, M. Schillo, T. Van Riet and M. Williams, Remarks on scale separation in flux vacua, JHEP 03 (2016) 061 [arXiv:1512.00457] [INSPIRE].
O. Aharony, Y.E. Antebi and M. Berkooz, On the Conformal Field Theory Duals of type IIA AdS 4 Flux Compactifications, JHEP 02 (2008) 093 [arXiv:0801.3326] [INSPIRE].
S.S. Haque, G. Shiu, B. Underwood and T. Van Riet, Minimal simple de Sitter solutions, Phys. Rev. D 79 (2009) 086005 [arXiv:0810.5328] [INSPIRE].
A. Herraez, L.E. Ibáñez, F. Marchesano and G. Zoccarato, The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies, JHEP 09 (2018) 018 [arXiv:1802.05771] [INSPIRE].
U.H. Danielsson, S.S. Haque, P. Koerber, G. Shiu, T. Van Riet and T. Wrase, de Sitter hunting in a classical landscape, Fortsch. Phys. 59 (2011) 897 [arXiv:1103.4858] [INSPIRE].
E. Silverstein, Simple de Sitter Solutions, Phys. Rev. D 77 (2008) 106006 [arXiv:0712.1196] [INSPIRE].
B. de Carlos, A. Guarino and J.M. Moreno, Flux moduli stabilisation, Supergravity algebras and no-go theorems, JHEP 01 (2010) 012 [arXiv:0907.5580] [INSPIRE].
B. de Carlos, A. Guarino and J.M. Moreno, Complete classification of Minkowski vacua in generalised flux models, JHEP 02 (2010) 076 [arXiv:0911.2876] [INSPIRE].
U. Danielsson and G. Dibitetto, On the distribution of stable de Sitter vacua, JHEP 03 (2013) 018 [arXiv:1212.4984] [INSPIRE].
J. Blåbäck, U. Danielsson and G. Dibitetto, Fully stable dS vacua from generalised fluxes, JHEP 08 (2013) 054 [arXiv:1301.7073] [INSPIRE].
C. Damian, L.R. Diaz-Barron, O. Loaiza-Brito and M. Sabido, Slow-Roll Inflation in Non-geometric Flux Compactification, JHEP 06 (2013) 109 [arXiv:1302.0529] [INSPIRE].
J. Blåbäck, U.H. Danielsson, G. Dibitetto and S.C. Vargas, Universal dS vacua in STU-models, JHEP 10 (2015) 069 [arXiv:1505.04283] [INSPIRE].
G. Villadoro and F. Zwirner, N = 1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes, JHEP 06 (2005) 047 [hep-th/0503169] [INSPIRE].
P.G. Camara, A. Font and L.E. Ibáñez, Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold, JHEP 09 (2005) 013 [hep-th/0506066] [INSPIRE].
G. Aldazabal and A. Font, A Second look at N = 1 supersymmetric AdS 4 vacua of type IIA supergravity, JHEP 02 (2008) 086 [arXiv:0712.1021] [INSPIRE].
J. Blåbäck, U. Danielsson and G. Dibitetto, Accelerated Universes from type IIA Compactifications, JCAP 03 (2014) 003 [arXiv:1310.8300] [INSPIRE].
S. Ferrara, R. Kallosh and A. Linde, Cosmology with Nilpotent Superfields, JHEP 10 (2014) 143 [arXiv:1408.4096] [INSPIRE].
R. Kallosh and T. Wrase, Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua, JHEP 12 (2014) 117 [arXiv:1411.1121] [INSPIRE].
E.A. Bergshoeff, K. Dasgupta, R. Kallosh, A. Van Proeyen and T. Wrase, \( \overline{\mathrm{D}3} \) and dS, JHEP 05 (2015) 058 [arXiv:1502.07627] [INSPIRE].
M. Dine and N. Seiberg, Is the Superstring Weakly Coupled?, Phys. Lett. 162B (1985) 299 [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1811.07880
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Banlaki, A., Chowdhury, A., Roupec, C. et al. Scaling limits of dS vacua and the swampland. J. High Energ. Phys. 2019, 65 (2019). https://doi.org/10.1007/JHEP03(2019)065
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2019)065