Exact Results in Chiral Gauge Theories with Flavor

Fuente: arXiv
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Autores principales: Leedom, Jacob M., Murayama, Hitoshi, Singh, Gup, Suter, Bethany, Wong, Jason
Formato: Preprint
Publicado: 2025
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author Leedom, Jacob M.
Murayama, Hitoshi
Singh, Gup
Suter, Bethany
Wong, Jason
author_facet Leedom, Jacob M.
Murayama, Hitoshi
Singh, Gup
Suter, Bethany
Wong, Jason
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_08772
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exact Results in Chiral Gauge Theories with Flavor
Leedom, Jacob M.
Murayama, Hitoshi
Singh, Gup
Suter, Bethany
Wong, Jason
High Energy Physics - Theory
High Energy Physics - Phenomenology
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.
title Exact Results in Chiral Gauge Theories with Flavor
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2503.08772