Harmless R-parity violation from Z_{12-I} compactification of E_8 X E_8' heterotic string

Abstract

In a recent $\Z_{12-I}$ orbifold model, an approximate $Z_2$ symmetry which forbids the baryon number violating operators up to sufficiently high orders is found. The dimension-4 $ΔB\ne 0$ operators of the MSSM fields occur at dimension 10. The effective dimension-5 $ΔB\ne 0$ operators derived from these are harmless if some VEVs of neutral singlets are O(1/10) times the string scale. The main reason for forbidding these $ΔB\ne 0$ operators up to such a high order is the large order N=12 of $\Z_N$ since the $H$-momentum rule is $(-1,1,1)$ mod (12, 3, 12). For a lower order $N<12$, the $ΔB\ne 0$ operators would appear at lower dimensions.