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            We present exact nonperturbative vacuum solutions to chiral gauge theories based on the gauge group and several matter fermions in the fundamental -dimensional representation. They are obtained when supersymmetric versions are perturbed by small supersymmetry breaking by anomaly mediation. The universality classes obtained are very different from what can be conjectured by the tumbling hypothesis. In particular, the case with three may have an unbroken SU(3) symmetry with massless composite fermions in of SU(3). For this case, we employed numerical techniques to obtain the exact ground state.more » « lessFree, publicly-accessible full text available August 1, 2026
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            Leedom, Jacob M; Murayama, Hitoshi; Singh, Gup; Suter, Bethany; Wong, Jason (, Physical Review D)We present exact results in softly broken supersymmetric chiral gauge theories with charged fermions in one antisymmetric, fundamental, and antifundamental representations. We achieve this by considering the supersymmetric version of these theories and utilizing anomaly mediated supersymmetry breaking at a scale to generate a vacuum. The connection to nonsupersymmetric theories is then conjectured in the limit . For odd , we determine the massless fermions and unbroken global symmetries in the infrared. For even , we find global symmetries are nonanomalous and no massless fermions. In all cases, the symmetry breaking patterns differ from what the tumbling hypothesis would suggest.more » « lessFree, publicly-accessible full text available July 1, 2026
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            Hall, Eleanor; McGehee, Robert; Murayama, Hitoshi; Suter, Bethany (, Physical Review D)
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