N=1，E_8 SYM在SU（3）/U（1）× U（1）× Z_3上的约化及其四维有效action
Reduction of N=1, E_8 SYM over SU(3)/U(1) x U(1) x Z_3 and its four-dimensional effective action
摘要：
我们提出了一个扩展的标准模型的启发E_8 × E_8杂合弦。为了提出一个合理的有效拉格朗日量，我们忽略了除了与规范因子之一和异常抵消所必需的某些耦合相关联的10维N=1超对称杨-米尔斯扇区之外的一切。考虑紧致时空M_4 × B_0/Z_3，其中B_0是近似Kaehler流形SU（3）/U（1）× U（1），Z_3是B_0上的自由作用离散群.然后我们在这个流形上对E_8进行降维，并利用Wilson通量机制在四维中导出一个SU（3）^3规范理论，其谱为N=1的超对称理论。我们计算了有效的四维拉格朗日量，并证明了标准模型的扩展得到了有趣的功能，包括一个保守的重子数和固定的树级汤川耦合和标量势。光谱包含新的状态，如右手中微子和重矢量夸克。
英文摘要：
We propose an extension of the Standard Model inspired by the E_8 x E_8 Heterotic String. In order that a reasonable effective Lagrangian is presented we neglect everything else other than the ten-dimensional N=1 supersymmetric Yang-Mills sector associated with one of the gauge factors and certain couplings necessary for anomaly cancellation. We consider a compactified space-time M_4 x B_0/Z_3, where B_0 is the nearly Kaehler manifold SU(3)/U(1) x U(1) and Z_3 is a freely acting discrete group on B_0. Then we reduce dimensionally the E_8 on this manifold and we employ the Wilson flux mechanism leading in four dimensions to an SU(3)^3 gauge theory with the spectrum of a N=1 supersymmetric theory. We compute the effective four-dimensional Lagrangian and demonstrate that an extension of the Standard Model is obtained with interesting features including a conserved baryon number and fixed tree level Yukawa couplings and scalar potential. The spectrum contains new states such as right handed neutrinos and heavy vector-like quarks.
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