SUSY SU(6) GUT without Gauge Hierarchy Problem

Abstract

A solution of the doublet-triplet splitting problem in the supersymmetric $SU(6)$ gauge theory is suggested. The `missing doublet' multiplet -- 175-plet of the $SU(6)$ group as well as the custodial $SU(2{)}_{cus}$ global symmetry play crucial role for achieving the doublet-triplet hierarchy. Two examples in which the doublet-triplet splitting occurs naturally are presented.

Comments: 8 pages, LATEX, some misprints are corrected, as appeared in Phys.Lett. B