Reheating constraints to supersymmetry flat direction inflation

In this work, we investigate constraints on the reheating era within the framework of supersymmetry flat direction inflation. Weexpress the e-folding number during reheating N-re and the final reheating temperature T-re as functions of the scalar spectral index n(s), and compare the numerical results with current bounds given by the Planck 2015 data (Planck Collab. Astron. Astrophys. 594, A20 (2016). doi:10.1051/0004-6361/201525898). Moreover, we express the inflationary observable quantities in terms of the duration of reheating Nre and the effective equation-of-state parameter of the reheating fluid omega(re), and constrain the reheating processes in the N-re-omega(re) plane.