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Some exact results in chiral gauge theories

Abstract

We analyze dynamics of chiral gauge theories based on the gauge group with one antisymmetric tensor and () antifundamentals when is odd. Based on the continuity to the supersymmetric gauge theories with anomaly-mediated supersymmetry breaking, we claim that the global symmetry is spontaneously broken to . There are massless fermions as a fundamental representation of , and another massless fermion, together saturating the anomaly matching conditions. When is even, the unbroken flavor symmetry is while there are no massless fermions. Our result is different from the dynamics suggested by tumbling where the full 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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