Low Energy Consequences of Five Dimensional SO(10)

Abstract

We consider five dimensional (5D) supersymmetric SO(10) compactified on the orbifold $S^1/(Z_2\times Z_2^{\prime })$ such that the SO(10) gauge symmetry is broken on both fixed points (branes), and the residual gauge symmetry is $SU(3{)}_c\times SU(2{)}_L\times U(1{)}_Y\times U(1{)}_X$. We explore one example in which the gauge symmetries on the two branes are respectively $SU(5)\times U(1{)}_X$ and $SU(4{)}_c\times SU(2{)}_L\times SU(2{)}_R$, and the MSSM gauge symmetry is recovered by the usual Higgs mechanism. We discuss how fermion masses and mixings can be understood in this framework by introducing a flavor $U(1{)}_F$ symmetry. Unification of the MSSM gauge couplings and proton stability are also considered. An order of magnitude increase in sensitivity could reveal proton decay.

Comments: 1+23 pages, 2 figures, comments added, version to appear in NPB