Comment on anomaly matching in N=1 supersymmetric QCD

Abstract

An attempt is made at a systematic approach to anomaly matching problem in non-Abelian electric-magnetic duality in N=1 supersymmetric QCD. A strategy we employ is somewhat analogous to anomaly analyses in grand unified models where the anomaly cancellation becomes more transparent if one embeds SU(5) multiplets into a multiplet of (anomaly-free) SO(10). A complication arises in the treatment of $U_R^{AF}(1{)}^3$ matching where $U_R^{AF}(1)$ is anomaly-free $R$ symmetry. It is noted that a relatively systematic analysis of the anomaly matching is possible if one considers the formal breaking sequence of color gauge symmetry: $SU(N_f{)}_c\to SU(N_c{)}_c\times SU({\tilde{N}}_c{)}_c$ with $N_f=N_c+{\tilde{N}}_c$, where $N_f$ stands for the number of massless quarks.

13 pages. Progress of Theoretical Physics (in press)

References in corpus (4)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• On Duality in Supersymmetric Yang-Mills Theory
• Anomaly-Free Gauged R-Symmetry in Local Supersymmetry
• Duality in Supersymmetric Yang-Mills Theory

Cited by in corpus (2)

• Physics of Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theories
• Flavor Symmetry Breaking in Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theory with N_f=N_c-2