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Some Exact Results in Chiral Gauge Theories

2021/04/30 by Csaba Csáki, Hitoshi Murayama, Ofri Telem · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.104.065018

published as Phys. Rev. D 104, 065018 (2021)

arxiv created 2021/05/13 · arxiv updated 2021/10/04

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 Fi 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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