Abstract
We show that a supersymmetric renormalizable theory based on gauge group SO(10) and Higgs system 10⊕210⊕126⊕126‾ with no scale supergravity can lead to a Starobinsky kind of potential for inflation. Successful inflation is possible in the cases where the potential during inflation corresponds to SU(3)C×SU(2)L×SU(2)R×U(1)B-L, SU(5)×U(1) and flipped SU(5)×U(1) intermediate symmetry with a suitable choice of superpotential parameters. The reheating in such a scenario can occur via non-perturbative decay of inflaton i.e. through “preheating”. After the end of reheating, when universe cools down, the finite temperature potential can have a minimum which corresponds to MSSM.
Highlights
The theory of cosmological inflation [1, 2, 3] solves the problems of standard big bang theory, and explains the seed fluctuations which can grow via gravitational instability to form the large scale structure of the universe [4]
Supergravity models of inflation based on the Jordan frame supergravity [14, 15, 16] and D-term superpotential [17] give inflationary potential which are identical to the Starobinsky potential at large field values
We study all possible cases of intermediate symmetries mentioned earlier for inflationary conditions in SO(10) with no-scale SUGRA
Summary
The theory of cosmological inflation [1, 2, 3] solves the problems (flatness, horizon etc.) of standard big bang theory, and explains the seed fluctuations which can grow via gravitational instability to form the large scale structure of the universe [4]. Supergravity models of inflation based on the Jordan frame supergravity [14, 15, 16] and D-term superpotential [17] give inflationary potential which are identical to the Starobinsky potential at large field values. We find that successful inflationary potential can be achieved in the case of SU (3)C × SU (2)L × SU (2)R × U (1)B−L, SU (5)× U (1) and flipped SU (5) × U (1) symmetry.
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