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Exact Results in Chiral Gauge Theories with Flavor

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arxiv 2503.08772 v2 pith:ABC4ABQS submitted 2025-03-11 hep-th hep-ph

Jacob M. Leedom , Hitoshi Murayama , Gup Singh , Bethany Suter , Jason Wong This is my paper · ORCID
classification hep-thhep-ph
keywords theoriesfermionsbreakingchiralexactgaugeglobalmassless
verification ladder T0 review T1 audit T2 compute T3 formal

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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 $m \ll \Lambda$ 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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Novel Phases of a Baryon-Dense QCD-like Theory

    hep-ph 2025-06 conditional novelty 7.0 of 10

    Adding a baryon chemical potential to AMSB-deformed s-confining SQCD produces novel finite-density vacua with baryon-number and parity breaking, with both first- and second-order transitions.

  2. Truly Confining Supersymmetric Gauge Theories

    hep-th 2025-05 conditional novelty 7.0 of 10

    The authors propose a complete list of seven truly confining supersymmetric gauge theories and show that each exhibits magnetic operator condensation and discrete symmetry breaking, including two new models.

  3. Phase Transitions at Unusual Values of $\theta$

    hep-th 2025-06 conditional novelty 6.0 of 10

    Using Seiberg-Witten theory plus anomaly mediation, the authors find first-order phase transitions in the theta-dependent vacuum energy at theta = pi (N_F=0), 0 and pi (N_F=1), pi/2 and 3pi/2 (N_F=2), and pi/4, 3pi/4,...

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