Abstract
We propose a new solution to the η-problem in supergravity using a shift symmetric Kähler potential in the context of the Randall–Sundrum type II model. We focus on a F-term supergravity inflation with a minimal Kähler potential taking into account the radiative corrections. The slow-roll conditions are ensured by the shift symmetry where a very small value of η(η≪1) is obtained. In this context, we derive all known spectrum inflationary parameters which are widely consistent with Planck 2015 data for a particular choice of brane tension and coupling constant values. A suitable observational central value of n s=0.96 is also obtained in the case of minimal Kähler potential.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Adam, R. et al. 2015, (Planck Collaboration), arXiv:1502.01589v2.
Antusch, S., Bastero-Gil, M., Dutta, K., King, S. F. Kostka, P. M. 2009a, JCAP, 01, 040.
Antusch, S., Dutta, K. Kostka, P. M. 2009b, Phys. Lett. B, 677, 221–225.
Antusch, S. Cefala, F. 2013, JCAP, 1310, 055.
Bastero-Gil, M. S., King, F. Shafi, Q. 2007, Phys. Lett. B, 651, 345–51.
Bento, M. C., Bertolami, O. Sen, A. 2003, Phys. Rev. D, 67, 063003.
Ben-Dayan, I. Einhorn, M. B. 2010, JCAP, 1012, 002.
Binetruy, P., Deffayet, C. Langlois, D. 2000, Nucl. Phys. B, 565, 269.
Brax, P., Bruck, C. Davis, A. 2004, Rept. Prog. Phys, 67, 2183–2232.
Calcagni, G., Kuroyanagi, S., Ohashi, J. Tsujikawab, S. 2014, JCAP, 03, 052.
Clesse, S., Garbrecht, B. Zhu, Y. 2014, Phys. Rev. D., 89, 063519.
Coleman, S. R. Weinberg, E. J. 1973, Phys. Rev. D, 7, 1888.
Copeland, E. J., Liddle, A. R., Lyth, D. H., Stewart, E. D. Wands, D. 1994, Phys. Rev. D, 49, 6410.
Civiletti, M., Pallis, C. Shafi, Q. 2014, Phys. Lett. B, 733, 276–282.
Dine, M., Randal, L. Thomas, S. 1995, Phys. Rev. Lett., 75, 398.
Enqvist, K. McDonald, J. 1998, Phys. Rev. Lett., 81, 3071.
Ferricha-Alami, M., Chakir, H., Inchaouh, J. Bennai, M. 2014, Int. J. Mod. Phys. A, 29, 1450146.
Gaillard, M. K., Murayama, H. Olive, K. A. 1995, Phys. Lett. B, 355, 71–77.
Kasuya, S., Moroi, T. Takahashi, F. 2004, Phys. Lett. B, 593, 33–41.
Kawasaki, M., Yamaguchi, M. Yanagida, T. 2000, Phys. Rev. Lett., 85, 3572.
Langlois, D., Maartens, R. Wands, D. 2000, Phys. Lett. B, 489, 259–267.
Lazarides, G. Vamvasakis, A. 2007, Phys. Rev. D, 76, 123514.
Lazarides, G. Pallis, C. 2008, arXiv:1508.06682.
Lyth, D. H. Stewart, E. D. 1996, Phys. Rev. D, 54, 7186.
Maartens, R., Wands, D, Bassett, B Heard, I 2000, Phys. Rev. D, 62, 041301.
Martin, J., Ringeval, C. Vennin, V. 2013, arXiv:1303.3787.
Panotopoulos, G. 2007, Phys. Rev. D, 75, 107302.
Pati, J. C. Salam, A. 1974, Phys. Rev. D, 10, 275.
Randall, L. Sundrum, R. 1999, Phys. Rev. Lett., 83, 3370.
Rehman, M. U., Shafi, Q. Wickman, J. R. 2010, Phys. Lett. B, 683, 191–195.
Safsafi, A., Bouaouda, A., Chakir, H., Inchaouh, J. Bennai, M. 2012, Class. Quantum Grav., 29, 215006.
Sasaki, M. Stewart, E. D. 1996, Progress Theor. Phys., 95, 71–78.
Shiromizu, T., Maeda, K. Sasaki, M. 2000, Phys. Rev. D, 62, 024012.
Yamaguchi Masahide 2011, Class. Quant. Grav, 28, 103001.
Zarrouki, R., Bouaouda, A., Chakir, H., Saidi, E. H. Bennai, M. 2011, Class. Quant. Grav., 28, 185003.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mounzi, Z., Ferricha-Alami, M., Safsafi, A. et al. Braneworld Inflation in Supergravity with a Shift Symmetric Kähler Potential. J Astrophys Astron 37, 13 (2016). https://doi.org/10.1007/s12036-016-9388-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12036-016-9388-7