Exact Results in Chiral Gauge Theories with Flavor

2025/03/11 by Jacob M. Leedom, Hitoshi Murayama, Leedom, Jacob M. +5 · 5 citations
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2503.08772

Abstract

We present exact results in softly-broken supersymmetric 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 ≪ Λ to generate a vacuum. The connection to non-supersymmetric theories is then conjectured in the limit m → ∞. 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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