Semiclassics with ’t Hooft flux background for QCD with 2-index quarks

A bstract We study quantum chromodynamics including the two-index symmetric or anti-symmetric quark (QCD(Sym/ASym)) on small ℝ 2 × T with a suitable magnetic flux. first discuss ’t Hooft anomaly of these theories and claim that discrete chiral symmetry should be spontaneously broken completely to satisfy matching condition. The compactification flux preserves anomaly, 2d effective theory is constrained by same 4d QCD(Sym/ASym). demonstrate spontaneous breakdown using dilute gas center vortices, which confirms prediction anomaly. also find each vacuum maintains charge conjugation symmetry, this gives affirmative support for nonperturbative large- N orientifold equivalence between QCD(Sym/ASym) $$ \mathcal{N} N = 1 supersymmetric SU( ) Yang-Mills theory.