μ Problem and hybrid inflation in supersymmetric SU(2)L×SU(2)R×U(1)B−L

We present a solution of the μ problem within a supersymmetric model based on the SU(2)L×SU(2)R×U(1)B−L gauge group. We show that this solution implies a built-in hybrid inflationary scenario, which may result in a successful baryogenesis via leptogenesis. Baryon number is essentially conserved as a result of an R-symmetry. Neutrinos with mass in the eV range can provide the `hotʹ dark matter component.