N=2 6-dimensional Supersymmetric $E_6$ Breaking

Details N=2 6-dimensional Supersymmetric $E_6$ Breaking N=2 6-dimensional Supersymmetric $E_6$ Breaking

2001-12-06

arxiv.org/abs/hep-th/0112046v2

Phys.Lett. B530 (2002) 218-226

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 12 pages, version to appear in PLB

Scientific paper

10.1016/S0370-2693(02)01335-7

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 $SU(3)\times SU(2) \times SU(2) \times U(1)^2$, $SU(4)\times SU(2) \times SU(2) \times U(1)$, and $SU(3)\times SU(2) \times U(1)^3$ 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 $SU(3)\times SU(2) \times U(1)^3$ 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.

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