Possible Candidates for SUSY E6 GUT with an Intermediate Scale

We study the possibility of an intermediate scale existing in supersymmetric E6 grand unified theories. The intermediate scale is demanded to be around 10 GeV so that neutrinos can obtain masses suitable for explaining the experimental data on the deficit of solar neutrinos with the Mikheev-Smirnov-Wolfenstein solution and the existence of hot dark matter. We require that at the intermediate scale, a certain symmetry breakdown to the Standard Model symmetry. We show that only a few E6 subgroups are likely to be realized as the intermediate symmetry, though there are many candidates for the intermediate symmetry in E6 GUT. e-mail: [email protected]