Inflation With A Realistic SO(10) Model

Abstract

We implement inflation within a realistic supersymmetric SO(10) model in which the doublet-triplet splitting is realized through the Dimopoulos-Wilczek mechanism, the MSSM $\mu$ problem is resolved, and higgsino mediated dimension five nucleon decay is heavily suppressed. The cosmologically unwanted topological defects are inflated away, and from $\delta T/T$, the $B-L$ breaking scale is estimated to be of order $10^{16}-10^{17}$ GeV. Including supergravity corrections, the scalar spectral index $n_s=0.99\pm 0.01$, with $|d{n}_s/d\ln k|\text{lapproxeq}10^{-3}$.

Comments: 4 pages. Talk presented by B. Kyae at PASCOS'05, Gyeongju, Korea (May 30 - June 4, 2005), at PPP'05, YITP, Kyoto, Japan (June 20-24, 2005), and at COSMO'05, Bonn, Germany (Aug. 28 - Sept. 1, 2005)