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Title: Inflationary scenario in the supersymmetric economical 3-3-1 model

Journal Article · · Physics of Atomic Nuclei

We construct the supersymmetric economical 3-3-1 model which contains inflationary scenario and avoids the monopole puzzle. Based on the spontaneous symmetry breaking pattern (with three steps), the F-term inflation is derived. The slow-roll parameters element of and {eta} are calculated. By imposing as experimental five-year WMAP data on the spectral index n, we have derived a constraint on the number of e-folding N{sub Q} to be in the range from 25 to 50. The scenario for large-scale structure formation implied by the model is a mixed scenario for inflation and cosmic string, and the contribution to the CMBR temperature anisotropy depends on the ratio M{sub X}/M{sub Pl}. From the COBE data, we have obtained the constraint on the M{sub X} to be M{sub X} element of [1.22 x 10{sup 16}, 0.98 x 10{sup 17}] GeV. The upper value M{sub X} {approx_equal} 10{sup 17} GeV is a result of the analysis in which the inflationary contribution to the temperature fluctuations measured by the COBE is 90%. The coupling {alpha} varies in the range: 10{sup -7}-10{sup -1}. This value is not so small, and it is a common characteristics of the supersymmetric unified models with the inflationary scenario. The spectral index n is a little bit smaller than 0.98. The SUGRA corrections are slightly different from the previous consideration. When {xi} << 1 and {alpha} lies in the above range, the spectral index gets the value consistent with the experimental five-year WMAP data. Comparing with string theory, one gets {xi} < 10{sup -8}. Numerical analysis shows that {alpha} {approx} 10{sup -6}. To get inflation contribution to the CMBR temperature anisotropy {approx}90%, the mass scale M{sub X} < 3.5 x 10{sup 14} GeV.

OSTI ID:
21426731
Journal Information:
Physics of Atomic Nuclei, Vol. 73, Issue 5; Other Information: DOI: 10.1134/S1063778810050078; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7788
Country of Publication:
United States
Language:
English