Some Exact Results in Chiral Gauge Theories

Abstract

We analyze dynamics of chiral gauge theories based on the $SU(N)$ gauge group with one anti-symmetric tensor $A$ and $(N-4)$ anti-fundamentals $F_i$ when $N$ is odd. Based on the continuity to the supersymmetric gauge theories with anomaly-mediated supersymmetry breaking, we claim that the global $SU(N-4)$ symmetry is spontaneously broken to $Sp(N-5)$. There are $N-5$ massless fermions as a fundamental representation of $Sp(N-5)$, and another massless fermion, together saturating the anomaly matching conditions. When $N$ is even, the unbroken flavor symmetry is $Sp(N-4)$ while there are no massless fermions. Our result is different from the dynamics suggested by tumbling where the full $SU(N-4)$ symmetry is unbroken, but the tumbling picture can be modified via the addition of a second condensate to produce the symmetry breaking pattern predicted from our method.

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• Outer Automorphism Anomalies
• Anomalies and phases of strongly-coupled chiral gauge theories: recent developments
• Phases of Confining SU(5) Chiral Gauge Theory with Three Generations
• Chiral Gauge Dynamics: Candidates for Non-Supersymmetric Dualities
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• Comparable Dark Matter and Baryon energy densities from Dark Grand Unification
• Near-SUSY to Non-SUSY Crossover
• Broken Conformal Window