Proton decay in supersymmetric SU(4) c × SU(2) L × SU(2) R
We discuss proton decay in a recently proposed model of supersymmetric hybrid inflation based on the gauge symmetry SU(4) c × SU(2) L × SU(2) R . A U(1) R symmetry plays an essential role in realizing inflation as well as in eliminating some undesirable baryon number violating operators. Proton decay is primarily mediated by a variety of color triplets from chiral superfields, and it lies in the observable range for a range of intermediate scale masses for the triplets. The decay modes include p → e + (μ + ) + π 0 , p→$\bar{ν}$+π + , p → K 0 + e + (μ + ), and p → K + +$\bar{ν}$, with a lifetime estimate of order 10 34 –10 36 yrs and accessible at Hyper-Kamiokande and future upgrades. The unification at the Grand Unified Theory (GUT) scale M GUT (~ 10 16 GeV) of the Minimal Supersymmetric Standard Model (MSSM) gauge couplings is briefly discussed.