Abstract
We study 4d Friedmann-Lemaître-Robertson-Walker cosmologies obtained from time-dependent compactifications of Type IIA 10d supergravity on various classes of 6d manifolds (Calabi-Yau, Einstein, Einstein-Kähler). The cosmologies we present are universal in that they do not depend on the detailed features of the compactification manifold, but only on the properties which are common to all the manifolds belonging to that class. Once the equations of motion are rewritten as an appropriate dynamical system, the existence of solutions featuring a phase of accelerated expansion is made manifest. The fixed points of this dynamical system, as well as the trajectories on the boundary of the phase space, correspond to analytic solutions which we determine explicitly. Furthermore, some of the resulting cosmologies exhibit eternal or semi-eternal acceleration, whereas others allow for a parametric control on the number of e-foldings. At future infinity, one can achieve both large volume and weak string coupling. Moreover, we find several smooth accelerating cosmologies without Big Bang singularities: the universe is contracting in the cosmological past (T < 0), expanding in the future (T > 0), while in the vicinity of T = 0 it becomes de Sitter in hyperbolic slicing. We also obtain several cosmologies featuring an infinite number of cycles of alternating periods of accelerated and decelerated expansions.
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References
G. Gibbons, Aspects of supergravity theories, in XV GIFT Seminar on Supersymmetry and Supergravity, Gerona Spain, June 4–11 1984 [GIFT Seminar (QCD161:G2:1984) (1984) 0123].
G.W. Gibbons, Thoughts on tachyon cosmology, Class. Quant. Grav. 20 (2003) S321 [hep-th/0301117] [INSPIRE].
J.M. Maldacena and C. Nuñez, 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].
P.K. Townsend and M.N.R. Wohlfarth, Accelerating cosmologies from compactification, Phys. Rev. Lett. 91 (2003) 061302 [hep-th/0303097] [INSPIRE].
N. Ohta, Accelerating cosmologies from S-branes, Phys. Rev. Lett. 91 (2003) 061303 [hep-th/0303238] [INSPIRE].
N. Ohta, A Study of accelerating cosmologies from superstring/M theories, Prog. Theor. Phys. 110 (2003) 269 [hep-th/0304172] [INSPIRE].
N. Ohta, Accelerating cosmologies and inflation from M/superstring theories, Int. J. Mod. Phys. A 20 (2005) 1 [hep-th/0411230] [INSPIRE].
S. Roy, Accelerating cosmologies from M/string theory compactifications, Phys. Lett. B 567 (2003) 322 [hep-th/0304084] [INSPIRE].
M. Gutperle, R. Kallosh and A.D. Linde, M/string theory, S-branes and accelerating universe, JCAP 07 (2003) 001 [hep-th/0304225] [INSPIRE].
R. Emparan and J. Garriga, A Note on accelerating cosmologies from compactifications and S branes, JHEP 05 (2003) 028 [hep-th/0304124] [INSPIRE].
P.K. Townsend, Cosmic acceleration and M theory, in 14th International Congress on Mathematical Physics, Lisbon Portugal, July 28–August 2 2003, pp. 655–662 [hep-th/0308149] [INSPIRE].
J.G. Russo and P.K. Townsend, Late-time Cosmic Acceleration from Compactification, Class. Quant. Grav. 36 (2019) 095008 [arXiv:1811.03660] [INSPIRE].
J.G. Russo and P.K. Townsend, Time-dependent compactification to de Sitter space: a no-go theorem, JHEP 06 (2019) 097 [arXiv:1904.11967] [INSPIRE].
H. Bernardo, S. Brahma and M.M. Faruk, The inheritance of energy conditions: Revisiting no-go theorems in string compactifications, arXiv:2208.09341 [INSPIRE].
H. Bernardo, S. Brahma, K. Dasgupta, M.M. Faruk and R. Tatar, Four-Dimensional Null Energy Condition as a Swampland Conjecture, Phys. Rev. Lett. 127 (2021) 181301 [arXiv:2107.06900] [INSPIRE].
C.-M. Chen, P.-M. Ho, I.P. Neupane, N. Ohta and J.E. Wang, Hyperbolic space cosmologies, JHEP 10 (2003) 058 [hep-th/0306291] [INSPIRE].
L. Andersson and J.M. Heinzle, Eternal acceleration from M-theory, Adv. Theor. Math. Phys. 11 (2007) 371 [hep-th/0602102] [INSPIRE].
M.N.R. Wohlfarth, Inflationary cosmologies from compactification?, Phys. Rev. D 69 (2004) 066002 [hep-th/0307179] [INSPIRE].
J.J. Halliwell, Scalar Fields in Cosmology with an Exponential Potential, Phys. Lett. B 185 (1987) 341 [INSPIRE].
A. Collinucci, M. Nielsen and T. Van Riet, Scalar cosmology with multi-exponential potentials, Class. Quant. Grav. 22 (2005) 1269 [hep-th/0407047] [INSPIRE].
E. Bergshoeff, W. Chemissany, A. Ploegh, M. Trigiante and T. Van Riet, Generating Geodesic Flows and Supergravity Solutions, Nucl. Phys. B 812 (2009) 343 [arXiv:0806.2310] [INSPIRE].
E. Bergshoeff, W. Chemissany, A. Ploegh and T. Van Riet, Geodesic flows in cosmology, J. Phys. Conf. Ser. 110 (2008) 102002 [INSPIRE].
P.K. Townsend and M.N.R. Wohlfarth, Cosmology as geodesic motion, Class. Quant. Grav. 21 (2004) 5375 [hep-th/0404241] [INSPIRE].
G. Obied, H. Ooguri, L. Spodyneiko and C. Vafa, De Sitter Space and the Swampland, arXiv:1806.08362 [INSPIRE].
C. Caviezel, P. Koerber, S. Kors, D. Lust, 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, 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].
P. Fre, M. Trigiante and A. Van Proeyen, Stable de Sitter vacua from N = 2 supergravity, Class. Quant. Grav. 19 (2002) 4167 [hep-th/0205119] [INSPIRE].
F. Catino, C.A. Scrucca and P. Smyth, Simple metastable de Sitter vacua in N = 2 gauged supergravity, JHEP 04 (2013) 056 [arXiv:1302.1754] [INSPIRE].
M. de Roo, D.B. Westra and S. Panda, De Sitter solutions in N = 4 matter coupled supergravity, JHEP 02 (2003) 003 [hep-th/0212216] [INSPIRE].
M. de Roo, D.B. Westra and S. Panda, Gauging CSO groups in N = 4 Supergravity, JHEP 09 (2006) 011 [hep-th/0606282] [INSPIRE].
A. Kleinschmidt and H. Nicolai, E10 cosmology, JHEP 01 (2006) 137 [hep-th/0511290] [INSPIRE].
J. Blåbäck, A. Borghese and S.S. Haque, Power-law cosmologies in minimal and maximal gauged supergravity, JHEP 06 (2013) 107 [arXiv:1303.3258] [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].
J.J. Heckman, C. Lawrie, L. Lin, J. Sakstein and G. Zoccarato, Pixelated Dark Energy, Fortsch. Phys. 67 (2019) 1900071 [arXiv:1901.10489] [INSPIRE].
A. Hebecker, T. Skrzypek and M. Wittner, The F-term Problem and other Challenges of Stringy Quintessence, JHEP 11 (2019) 134 [arXiv:1909.08625] [INSPIRE].
J. Calderón-Infante, I. Ruiz and I. Valenzuela, Asymptotic Accelerated Expansion in String Theory and the Swampland, arXiv:2209.11821 [INSPIRE].
D. Andriot and D. Tsimpis, Laplacian spectrum on a nilmanifold, truncations and effective theories, JHEP 09 (2018) 096 [arXiv:1806.05156] [INSPIRE].
R. Gregory, Nonsingular global string compactifications, Phys. Rev. Lett. 84 (2000) 2564 [hep-th/9911015] [INSPIRE].
A. Chodos, E. Poppitz and D. Tsimpis, Nonsingular deformations of singular compactifications, the cosmological constant, and the hierarchy problem, Class. Quant. Grav. 17 (2000) 3865 [hep-th/0006093] [INSPIRE].
L. Jarv, T. Mohaupt and F. Saueressig, Quintessence cosmologies with a double exponential potential, JCAP 08 (2004) 016 [hep-th/0403063] [INSPIRE].
J. Sonner and P.K. Townsend, Recurrent acceleration in dilaton-axion cosmology, Phys. Rev. D 74 (2006) 103508 [hep-th/0608068] [INSPIRE].
J. Sonner and P.K. Townsend, Axion-Dilaton Domain Walls and Fake Supergravity, Class. Quant. Grav. 24 (2007) 3479 [hep-th/0703276] [INSPIRE].
J.G. Russo and P.K. Townsend, A dilaton-axion model for string cosmology, JHEP 06 (2022) 001 [arXiv:2203.09398] [INSPIRE].
G. D’Amico and N. Kaloper, Rollercoaster cosmology, JCAP 08 (2021) 058 [arXiv:2011.09489] [INSPIRE].
R. Terrisse and D. Tsimpis, Consistent truncation and de Sitter space from gravitational instantons, JHEP 07 (2019) 034 [arXiv:1903.10504] [INSPIRE].
D. Tsimpis, Consistent truncation on Calabi-Yau and Nearly-Kähler manifolds, PoS CORFU2019 (2020) 122 [arXiv:2002.09359] [INSPIRE].
D. Andriot, New constraints on classical de Sitter: flirting with the swampland, Fortsch. Phys. 67 (2019) 1800103 [arXiv:1807.09698] [INSPIRE].
D. Andriot, Open problems on classical de Sitter solutions, Fortsch. Phys. 67 (2019) 1900026 [arXiv:1902.10093] [INSPIRE].
D. Andriot, P. Marconnet and T. Wrase, New de Sitter solutions of 10d type IIB supergravity, JHEP 08 (2020) 076 [arXiv:2005.12930] [INSPIRE].
D. Andriot, P. Marconnet and T. Wrase, Intricacies of classical de Sitter string backgrounds, Phys. Lett. B 812 (2021) 136015 [arXiv:2006.01848] [INSPIRE].
D. Andriot, L. Horer and P. Marconnet, Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities, JHEP 06 (2022) 131 [arXiv:2201.04152] [INSPIRE].
D. Andriot, L. Horer and P. Marconnet, Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation, JHEP 08 (2022) 109 [arXiv:2204.05327] [INSPIRE].
D. Andriot, P. Marconnet, M. Rajaguru and T. Wrase, Automated consistent truncations and stability of flux compactifications, JHEP 12 (2022) 026 [arXiv:2209.08015] [INSPIRE].
A. Bovon, Calculations based on a 10-dimensional string theory and search for known universes, MSc Thesis, Ecole Normale Supérieure de Lyon (2020).
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Marconnet, P., Tsimpis, D. Universal accelerating cosmologies from 10d supergravity. J. High Energ. Phys. 2023, 33 (2023). https://doi.org/10.1007/JHEP01(2023)033
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DOI: https://doi.org/10.1007/JHEP01(2023)033