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arXiv 1508.03313hep-ph
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无穷类非平凡异常抵消情形

Infinite Classes of Cases with Non-trivial Anomaly Cancellation

S. M. Barr

摘要:

本文指出,基于SU(p)xSU(q)xU(1)形式的规范群,存在无限类的情况,其中规范异常对于包含对称张量表示的费米子多重态的小集合非平凡地抵消。这些取消是不平凡的意义上说,没有群论的解释方面嵌入一个更大的简单的群体是显而易见的。这里提出的情况可能对模型的建立有用,并导致模型与额外的轻子和额外的U(1)规范相互作用下,标准模型费米子有独特的电荷。在许多情况下,SU(q)xU(1)群充当族对称。

英文摘要:

It is pointed out that there are infinite classes of cases based on gauge groups of the form SU(p)xSU(q)xU(1) in which gauge anomalies cancel non-trivially for small sets of fermion multiplets that include symmetric tensor representations. These cancellations are non-trivial in the sense that no group-theoretic explanation in terms of embedding in a larger simple group is apparent. The cases presented here could be useful for model building and lead to models with extra leptons and an extra U(1) gauge interaction under which the Standard Model fermions have distinctive charges. In many cases the SU(q)xU(1) groups act as family symmetries.

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