Some exact results in chiral gauge theories

We analyze dynamics of chiral gauge theories based on the $SU(N)$ gauge group with one antisymmetric tensor A and (N-4) antifundamentals 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.