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We reconstruct the potential of minimally coupling inflation model whichproduces small value of the tensor-scalar ratio. In these inflation models,tensor-scalar ratio is proportional to 1/N^2 scalar spectral index is in goodagreement with recent cosmological observations, in which N is the e-foldingnumber and p is a positive number. We also reconstruct f(R) gravity inflationfrom small tensor-tensor ratio.

Reconstruction of inflation model from tensor-to-scalar ratio