F-term Inflation and Leptogenesis with 5D SO(10)

Abstract

We discuss a five dimensional inflationary scenario based on a supersymmetric SO(10) model compactified on $S^1/(Z_2\times Z_2^{\prime })$. Inflation is implemented through scalar potentials on four dimensional branes, and a brane-localized Einstein-Hilbert term is essential to make both brane vacuum energies positive during inflation. The orbifold boundary conditions break the SO(10) gauge symmetry to $SU(4{)}_c\times SU(2{)}_L\times SU(2{)}_R$ ($\equiv H$). The inflationary scenario yields $\delta T/T\propto (M/M_{\mathrm{Planck}}{)}^2$, which fixes $M$, the symmetry breaking scale of $H$ to be close to the SUSY GUT scale of $10^{16}$ GeV. The scalar spectral index $n$ is $0.98-0.99$, and the tensor to scalar ratio $r$ is $\lapproxeq 10^{-4}$. The inflaton decay into the lightest right handed neutrinos yields the observed baryon asymmetry via leptogenesis.

Contribution to the Proceedings of SUGRA20, International Conference 20 Years of SUGRA and Search for SUSY and Unification, Northeastern University, Boston, March 2003

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• Inflation and Leptogenesis in Five Dimensional SO(10)