Abstract
We describe how quartic ($\lambda \phi^4$) inflation with non-minimal coupling to gravity is realized in realistic supersymmetric $SO(10)$ models. In a well-motivated example the $16-\overline{16}$ Higgs multiplets, which break $SO(10)$ to $SU(5)$ and yield masses for the right-handed neutrinos, provide the inflaton field $\phi$. Thus, leptogenesis is a natural outcome in this class of $SO(10)$ models. Moreover, the adjoint (45-plet) Higgs also acquires a GUT scale value during inflation so that the monopole problem is evaded. The scalar spectral index $n_s$ is in good agreement with the observations and $r$, the tensor to scalar ratio, is predicted for realistic values of GUT parameters to be of order $10^{-3}-10^{-2}$.
Highlights
We describe how quartic inflation with non-minimal coupling to gravity is realized in realistic supersymmetric S O (10) models
The scalar spectral index ns is in good agreement with the observations and r, the tensor to scalar ratio, is predicted for realistic values of GUT parameters to be of order 10−3–10−2
We find that the shape of the inflaton trajectory shown in the right panel of Fig. 1 is almost unchanged for a variety of choices of the model parameters, y, ξ and ξA
Summary
Non-minimal quartic inflation in supersymmetric S O (10) We describe how quartic (λφ4) inflation with non-minimal coupling to gravity is realized in realistic supersymmetric S O (10) models. In a well-motivated example the 16 − 16 Higgs multiplets, which break S O (10) to SU (5) and yield masses for the right-handed neutrinos, provide the inflaton field φ.
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