Spectral degeneracy in supersymmetric gluodynamics and one-flavor QCD related to N = 1/2 supersymmetry

In supersymmetric gluodynamics (N = 1 super-Yang-Mills theory), we show that the spectral functions induced by the nonchiral operator Tr(G _αβλ²) are fully degenerate in the J ^PC = 1^±- channels. The above operator is related to N = 1/2 generalization of SUSY. Using the planar equivalence, this translates into the statement of degeneracy between the mesons produced from the vacuum by the operators (Ψ E^→ Ψ + iΨ B^→ γ⁵ Ψ) and (Ψ B^→ Ψ - iΨ E ^→ γ⁵ Ψ) in one-flavor QCD, up to 1/N corrections. Here Ψ is the quark field, and E^→, B ^→ are chromoelectric/chromomagnetic fields, respectively.