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arXiv · 2503.08772

Exact Results in Chiral Gauge Theories with Flavor

Jacob M. Leedom·Hitoshi Murayama·Gup Singh·Bethany Suter·Jason Wong
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Abstract

We present exact results in softly-broken supersymmetric $\text{SU}(N_C)$ chiral gauge theories with charged fermions in one antisymmetric, $N_F$ fundamental, and $N_C+N_F-4$ anti-fundamental representations. We achieve this by considering the supersymmetric version of these theories and utilizing anomaly mediated supersymmetry breaking at a scale $m \ll Λ$ to generate a vacuum. The connection to non-supersymmetric theories is then conjectured in the limit $m \rightarrow \infty$. For odd $N_C$, we determine the massless fermions and unbroken global symmetries in the infrared. For even $N_C$, we find global symmetries are non-anomalous and no massless fermions. In all cases, the symmetry breaking patterns differ from what the tumbling hypothesis would suggest.

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Jacob M. Leedom, Hitoshi Murayama, Gup Singh, Bethany Suter, Jason Wong. 2025-05-06. Exact Results in Chiral Gauge Theories with Flavor. https://arxiv.org/abs/2503.08772

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