Non-Minimal Quartic Inflation in Supersymmetric SO(10)

Abstract

We describe how quartic ($\lambda {\varphi }^4$) 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 $\varphi$. 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 $10^{-3}-10^{-2}$.

arXiv comment10 pages, 1 figure

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• Standard Coupling Unification in SO(10), Hybrid Seesaw Neutrino Mass and Leptogenesis, Dark Matter, and Proton Lifetime Predictions
• Inflation from a No-scale supersymmetric $SU(4{)}_c\times SU(2{)}_L\times SU(2{)}_R$ model
• Gravitational Waves, mu Term & Leptogenesis from B-L Higgs Inflation in Supergravity
• Gravity Waves and Gravitino Dark Matter in $\mu$-Hybrid Inflation
• Gravitino Dark matter, Non Thermal Leptogenesis and Low reheating temperature in No-scale Higgs Inflation
• Smooth Hybrid Inflation with Low Reheat Temperature and Observable Gravity Waves in $SU(5)\times U(1{)}_{\chi }$ Super-GUT
• Gravitino constraints on supergravity inflation
• Messenger inflation in gauge mediation and superWIMP dark matter
• Inflation and type III seesaw mechanism in $\nu$-gauge mediated supersymmetry breaking
• Primordial black holes from D-parity breaking in SO(10) grand unified theory