Abstract
We implement a conformal time scale factor duality for Friedmann-Robertson-Walker cosmological models, which is consistent with the weak energy condition. The requirement for self-duality determines the equations of state for a broad class of barotropic fluids. We study the example of a universe filled with two interacting fluids, presenting an accelerated and a decelerated period, with manifest UV/IR duality. The associated self-dual scalar field interaction turns out to coincide with the “radiation-like” modified Chaplygin gas models. We present an equivalent realization of them as gauged Kähler sigma models (minimally coupled to gravity) with very specific and interrelated Kähler- and super-potentials. Their applications in the description of hilltop inflation and also as quintessence models for the late universe are discussed.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XX. Constraints on inflation, arXiv:1502.02114 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, arXiv:1502.01589 [INSPIRE].
J. Martin, C. Ringeval and V. Vennin, Encyclopædia inflationaris, Phys. Dark Univ. 5-6 (2014) 75 [arXiv:1303.3787] [INSPIRE].
G. ’t Hooft, Local conformal symmetry: the missing symmetry component for space and time, arXiv:1410.6675 [INSPIRE].
R. Kallosh and A. Linde, Universality class in conformal inflation, JCAP 07 (2013) 002 [arXiv:1306.5220] [INSPIRE].
R. Kallosh, A. Linde and D. Roest, Large field inflation and double α-attractors, JHEP 08 (2014) 052 [arXiv:1405.3646] [INSPIRE].
J. Ellis, M.A.G. García, D.V. Nanopoulos and K.A. Olive, A no-scale inflationary model to fit them all, JCAP 08 (2014) 044 [arXiv:1405.0271] [INSPIRE].
K. Hinterbichler and J. Khoury, The pseudo-conformal universe: scale invariance from spontaneous breaking of conformal symmetry, JCAP 04 (2012) 023 [arXiv:1106.1428] [INSPIRE].
R. Kallosh, A. Linde and T. Rube, General inflaton potentials in supergravity, Phys. Rev. D 83 (2011) 043507 [arXiv:1011.5945] [INSPIRE].
R. Kallosh, A.D. Linde, S. Prokushkin and M. Shmakova, Supergravity, dark energy and the fate of the universe, Phys. Rev. D 66 (2002) 123503 [hep-th/0208156] [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].
S. Ferrara, R. Kallosh, A. Linde and M. Porrati, Minimal supergravity models of inflation, Phys. Rev. D 88 (2013) 085038 [arXiv:1307.7696] [INSPIRE].
S. Ferrara, R. Kallosh, A. Linde, A. Marrani and A. Van Proeyen, Superconformal symmetry, NMSSM and inflation, Phys. Rev. D 83 (2011) 025008 [arXiv:1008.2942] [INSPIRE].
C. Csáki, N. Kaloper, J. Serra and J. Terning, Inflation from broken scale invariance, Phys. Rev. Lett. 113 (2014) 161302 [arXiv:1406.5192] [INSPIRE].
T. Barreiro, E.J. Copeland and N.J. Nunes, Quintessence arising from exponential potentials, Phys. Rev. D 61 (2000) 127301 [astro-ph/9910214] [INSPIRE].
E.J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy, Int. J. Mod. Phys. D 15 (2006) 1753 [hep-th/0603057] [INSPIRE].
A.Y. Kamenshchik, U. Moschella and V. Pasquier, An alternative to quintessence, Phys. Lett. B 511 (2001) 265 [gr-qc/0103004] [INSPIRE].
R.R. Caldwell, R. Dave and P.J. Steinhardt, Cosmological imprint of an energy component with general equation of state, Phys. Rev. Lett. 80 (1998) 1582 [astro-ph/9708069] [INSPIRE].
P. Binetruy, Models of dynamical supersymmetry breaking and quintessence, Phys. Rev. D 60 (1999) 063502 [hep-ph/9810553] [INSPIRE].
P. Brax and J. Martin, Quintessence and supergravity, Phys. Lett. B 468 (1999) 40 [astro-ph/9905040] [INSPIRE].
G. Veneziano, Scale factor duality for classical and quantum strings, Phys. Lett. B 265 (1991) 287 [INSPIRE].
M. Gasperini and G. Veneziano, The pre-big bang scenario in string cosmology, Phys. Rept. 373 (2003) 1 [hep-th/0207130] [INSPIRE].
L.P. Chimento and R. Lazkoz, On the link between phantom and standard cosmologies, Phys. Rev. Lett. 91 (2003) 211301 [gr-qc/0307111] [INSPIRE].
L.P. Chimento and W. Zimdahl, Duality invariance and cosmological dynamics, Int. J. Mod. Phys. D 17 (2008) 2229 [gr-qc/0609104] [INSPIRE].
U. Debnath, A. Banerjee and S. Chakraborty, Role of modified Chaplygin gas in accelerated universe, Class. Quant. Grav. 21 (2004) 5609 [gr-qc/0411015] [INSPIRE].
H.B. Benaoum, Accelerated universe from modified Chaplygin gas and tachyonic fluid, hep-th/0205140 [INSPIRE].
M. Cvetič and H.H. Soleng, Naked singularities in dilatonic domain wall space times, Phys. Rev. D 51 (1995) 5768 [hep-th/9411170] [INSPIRE].
M. Cvetič and H.H. Soleng, Supergravity domain walls, Phys. Rept. 282 (1997) 159 [hep-th/9604090] [INSPIRE].
P.K. Townsend, From wave geometry to fake supergravity, J. Phys. A 41 (2008) 304014 [arXiv:0710.5709] [INSPIRE].
K. Skenderis, P.K. Townsend and A. Van Proeyen, Domain-wall/cosmology correspondence in AdS/dS supergravity, JHEP 08 (2007) 036 [arXiv:0704.3918] [INSPIRE].
J. Lu, D. Geng, L. Xu, Y. Wu and M. Liu, Reduced modified Chaplygin gas cosmology, JHEP 02 (2015) 071 [arXiv:1312.0779] [INSPIRE].
L.P. Chimento and R. Lazkoz, Large-scale inhomogeneities in modified Chaplygin gas cosmologies, Phys. Lett. B 615 (2005) 146 [astro-ph/0411068] [INSPIRE].
L. Boubekeur and D. Lyth, Hilltop inflation, JCAP 07 (2005) 010 [hep-ph/0502047] [INSPIRE].
R. Kallosh, Planck 2013 and superconformal symmetry, arXiv:1402.0527 [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: 1502.06497
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, 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 license, and indicate if changes were made.
About this article
Cite this article
Camara da Silva, U., Lima, A.A. & Sotkov, G.M. Scale factor self-dual cosmological models. J. High Energ. Phys. 2015, 17 (2015). https://doi.org/10.1007/JHEP07(2015)017
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2015)017