N=2 6-dimensional Supersymmetric $E_6$ Breaking

Chao-Shang Huang; Jing Jiang; Tianjun Li; Wei Liao

doi:10.1016/S0370-2693(02)01335-7

paper

N=2 6-dimensional Supersymmetric $E_{6}$ Breaking

arXiv:hep-th/0112046 · doi:10.1016/S0370-2693(02)01335-7

Abstract

We study the $N = 2$ supersymmetric $E_{6}$ models on the 6-dimensional space-time where the supersymmetry and gauge symmetry can be broken by the discrete symmetry. On the space-time $M^{4} \times S^{1} / (Z_{2} \times Z_{2}^{'}) \times S^{1} / (Z_{2} \times Z_{2}^{'})$ , for the zero modes, we obtain the 4-dimensional $N = 1$ supersymmetric models with gauge groups $S U (3) \times S U (2) \times S U (2) \times U (1)^{2}$ , $S U (4) \times S U (2) \times S U (2) \times U (1)$ , and $S U (3) \times S U (2) \times U (1)^{3}$ with one extra pair of Higgs doublets from the vector multiplet. In addition, considering that the extra space manifold is the annulus $A^{2}$ and disc $D^{2}$ , we list all the constraints on constructing the 4-dimensional $N = 1$ supersymmetric $S U (3) \times S U (2) \times U (1)^{3}$ models for the zero modes, and give the simplest model with $Z_{9}$ symmetry. We also comment on the extra gauge symmetry breaking and its generalization.

Latex, 12 pages, version to appear in PLB

N=2 6-dimensional Supersymmetric E6​ Breaking

Abstract

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N=2 6-dimensional Supersymmetric $E_{6}$ Breaking