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arXiv 2104.10171hep-th
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手征规范理论中的一些精确结果

Some Exact Results in Chiral Gauge Theories

Csaba Csáki, Hitoshi Murayama, Ofri Telem

摘要:

我们分析了基于$SU(N)$规范群的手征规范理论的动力学,当$N$为奇数时,该规范群具有一个反对称张量$A$和$(N-4)$反基本面$F_{i}$。基于反常介导超对称破缺的超对称规范理论的连续性,我们提出整体$SU(N-4)$对称性自发破缺为$Sp(N-5)$ .有$N-5$无质量费米子作为$Sp(N-5)$的基本表示,和另一个无质量费米子,一起饱和异常匹配条件。当$N$是偶数时,未破缺的味对称是$Sp(N-4)$,而没有无质量费米子。我们的结果是不同的动力学所建议的翻滚完整的$SU(N-4)$对称性是未破缺,但翻滚图片可以修改通过添加第二个凝聚产生对称性破缺模式预测从我们的方法。

英文摘要:

We analyze dynamics of chiral gauge theories based on the $SU(N)$ gauge group with one anti-symmetric tensor $A$ and $(N-4)$ anti-fundamentals $F_{i}$ when $N$ is odd. Based on the continuity to the supersymmetric gauge theories with anomaly-mediated supersymmetry breaking, we claim that the global $SU(N-4)$ symmetry is spontaneously broken to $Sp(N-5)$. There are $N-5$ massless fermions as a fundamental representation of $Sp(N-5)$, and another massless fermion, together saturating the anomaly matching conditions. When $N$ is even, the unbroken flavor symmetry is $Sp(N-4)$ while there are no massless fermions. Our result is different from the dynamics suggested by tumbling where the full $SU(N-4)$ symmetry is unbroken, but the tumbling picture can be modified via the addition of a second condensate to produce the symmetry breaking pattern predicted from our method.

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