Abstract
We study the possibility of realizing scale-separated type IIB Anti-de Sitter and de Sitter compactifications within a controlled effective field theory regime defined by low-energy and large (but scale-separated) compactification volume. The approach we use views effective theories as truncations of the full quantum equations of motion expanded in a trans-series around this asymptotic regime. By studying the scalings of all possible perturbative and non-perturbative corrections we identify the effects that have the right scaling to allow for the desired solutions. In the case of Anti-de Sitter, we find agreement with KKLT-type scenarios, and argue that non-perturbative brane-instantons wrapping four-cycles (or similarly scaling effects) are essentially the only ingredient that allows for scale separated solutions. We also comment on the relation of these results to the AdS swampland conjectures. For the de Sitter case we find that we are forced to introduce an infinite number of relatively unsuppressed corrections to the equations of motion, leading to a breakdown of effective theory. This suggests that if de Sitter vacua exist in the string landscape, they should not be thought of as residing within the same effective theory as the AdS or Minkowski compactifications, but rather as defining a separate asymptotic regime, presumably related to the others by a duality transformation.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C. Vafa, The String landscape and the Swampland, hep-th/0509212 [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].
E. Palti, The Swampland: Introduction and Review, Fortsch. Phys. 67 (2019) 1900037 [arXiv:1903.06239] [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].
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].
T. Rudelius, Conditions for (No) Eternal Inflation, JCAP 08 (2019) 009 [arXiv:1905.05198] [INSPIRE].
A. Bedroya and C. Vafa, Trans-Planckian Censorship and the Swampland, JHEP 09 (2020) 123 [arXiv:1909.11063] [INSPIRE].
A. Bedroya, R. Brandenberger, M. Loverde and C. Vafa, Trans-Planckian Censorship and Inflationary Cosmology, Phys. Rev. D 101 (2020) 103502 [arXiv:1909.11106] [INSPIRE].
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland, Phys. Lett. B 797 (2019) 134867 [arXiv:1906.05225] [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].
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].
C.P. Burgess, R. Kallosh and F. Quevedo, de Sitter string vacua from supersymmetric D terms, JHEP 10 (2003) 056 [hep-th/0309187] [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].
A. Westphal, de Sitter string vacua from Kähler uplifting, JHEP 03 (2007) 102 [hep-th/0611332] [INSPIRE].
R. Kallosh, F. Quevedo and A.M. Uranga, String Theory Realizations of the Nilpotent Goldstino, JHEP 12 (2015) 039 [arXiv:1507.07556] [INSPIRE].
E.A. Bergshoeff, K. Dasgupta, R. Kallosh, A. Van Proeyen and T. Wrase, \( \overline{D3} \) and dS, JHEP 05 (2015) 058 [arXiv:1502.07627] [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].
R. Kallosh, A. Linde, E. McDonough and M. Scalisi, dS Vacua and the Swampland, JHEP 03 (2019) 134 [arXiv:1901.02022] [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].
Y. Hamada, A. Hebecker, G. Shiu and P. Soler, On brane gaugino condensates in 10d, JHEP 04 (2019) 008 [arXiv:1812.06097] [INSPIRE].
R. Kallosh, Gaugino Condensation and Geometry of the Perfect Square, Phys. Rev. D 99 (2019) 066003 [arXiv:1901.02023] [INSPIRE].
F. Carta, J. Moritz and A. Westphal, Gaugino condensation and small uplifts in KKLT, JHEP 08 (2019) 141 [arXiv:1902.01412] [INSPIRE].
Y. Hamada, A. Hebecker, G. Shiu and P. Soler, Understanding KKLT from a 10d perspective, JHEP 06 (2019) 019 [arXiv:1902.01410] [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].
J. Moritz, A. Retolaza and A. Westphal, Toward de Sitter space from ten dimensions, Phys. Rev. D 97 (2018) 046010 [arXiv:1707.08678] [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].
U. Danielsson, The quantum swampland, JHEP 04 (2019) 095 [arXiv:1809.04512] [INSPIRE].
F.F. Gautason, V. Van Hemelryck, T. Van Riet and G. Venken, A 10d view on the KKLT AdS vacuum and uplifting, JHEP 06 (2020) 074 [arXiv:1902.01415] [INSPIRE].
S. Sethi, Supersymmetry Breaking by Fluxes, JHEP 10 (2018) 022 [arXiv:1709.03554] [INSPIRE].
I. Bena, E. Dudas, M. Graña and S. Lüst, Uplifting Runaways, Fortsch. Phys. 67 (2019) 1800100 [arXiv:1809.06861] [INSPIRE].
K. Dasgupta, R. Gwyn, E. McDonough, M. Mia and R. Tatar, de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections, JHEP 07 (2014) 054 [arXiv:1402.5112] [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].
K. Dasgupta, M. Emelin, M.M. Faruk and R. Tatar, de Sitter Vacua in the String Landscape, arXiv:1908.05288 [INSPIRE].
K. Dasgupta, M. Emelin, M.M. Faruk and R. Tatar, How a four-dimensional de Sitter solution remains outside the Swampland, arXiv:1911.02604 [INSPIRE].
D. Dorigoni, An Introduction to Resurgence, Trans-Series and Alien Calculus, Annals Phys. 409 (2019) 167914 [arXiv:1411.3585] [INSPIRE].
G.V. Dunne and M. Ünsal, What is QFT? Resurgent trans-series, Lefschetz thimbles, and new exact saddles, PoS LATTICE 2015 (2016) 010 [arXiv:1511.05977] [INSPIRE].
I. Aniceto, G. Basar and R. Schiappa, A Primer on Resurgent Transseries and Their Asymptotics, Phys. Rept. 809 (2019) 1 [arXiv:1802.10441] [INSPIRE].
M. Dine and N. Seiberg, Is the Superstring Weakly Coupled?, Phys. Lett. B 162 (1985) 299 [INSPIRE].
K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [INSPIRE].
S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [INSPIRE].
D. Lüst and D. Tsimpis, Classes of AdS4 type IIA/IIB compactifications with SU(3) × SU(3) structure, JHEP 04 (2009) 111 [arXiv:0901.4474] [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].
A. Sen, F theory and orientifolds, Nucl. Phys. B 475 (1996) 562 [hep-th/9605150] [INSPIRE].
K. Dasgupta and S. Mukhi, F theory at constant coupling, Phys. Lett. B 385 (1996) 125 [hep-th/9606044] [INSPIRE].
T. Maxfield and S. Sethi, DBI from Gravity, JHEP 02 (2017) 108 [arXiv:1612.00427] [INSPIRE].
S. Kachru, J. Pearson and H.L. Verlinde, Brane/flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP 06 (2002) 021 [hep-th/0112197] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
L. Aalsma, J.P. van der Schaar and B. Vercnocke, Constrained superfields on metastable anti-D3-branes, JHEP 05 (2017) 089 [arXiv:1703.05771] [INSPIRE].
L. Aalsma, M. Tournoy, J.P. van der Schaar and B. Vercnocke, Supersymmetric embedding of antibrane polarization, Phys. Rev. D 98 (2018) 086019 [arXiv:1807.03303] [INSPIRE].
E.A. Bergshoeff, D.Z. Freedman, R. Kallosh and A. Van Proeyen, Pure de Sitter Supergravity, Phys. Rev. D 92 (2015) 085040 [Erratum ibid. 93 (2016) 069901] [arXiv:1507.08264] [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: 2005.11421
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
Emelin, M. Effective theories as truncated trans-series and scale separated compactifications. J. High Energ. Phys. 2020, 144 (2020). https://doi.org/10.1007/JHEP11(2020)144
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2020)144