标题： $E_6$手征规范理论的动力学 显示英文标题

标题： Dynamics of $E_6$ Chiral Gauge Theories

摘要： 我们提出了基于$E_6$规范群和在基本的$\bf{27}$维表示中的几个物质费米子的手征规范理论的确切非微扰解。当超对称版本受到小的由异常介导的超对称破缺的微扰时得到了这些解。所获得的普适类与翻滚假设猜想的情况非常不同。特别是，具有三个$\bf{27}$的情况可能具有未破裂的$\text{SU}(3)$对称性，并且在$\text{SU}(3)$的$\bf{10}$中存在无质量复合费米子。对于这种情况，我们采用了数值技术来获得确切的基态。 显示英文摘要

摘要： We present exact non-perturbative solutions to chiral gauge theories based on the $E_6$ gauge group and several matter fermions in the fundamental $\bf{27}$-dimensional representation. They are obtained when supersymmetric versions are perturbed by small supersymmetry breaking by anomaly mediation. The universality classes obtained are very different from what can be conjectured by the tumbling hypothesis. In particular, the case with three $\bf{27}$s may have an unbroken $\text{SU}(3)$ symmetry with massless composite fermions in $\bf{10}$ of $\text{SU}(3)$. For this case, we employed numerical techniques to obtain the exact ground state.