2-index chiral gauge theories
15 August 2023
High Energy Physics - Theory
Mohamed M. Anber,
Samson Y. L. Chan
Systematically studies chiral SU(N) gauge theories with two-index fermion representations
Identifies global symmetries and all possible anomalies
Shows some theories flow to conformal fixed points
Proves fermion composites cannot match anomalies in some cases
Determines minimal symmetry breaking by condensates to match all anomalies
Investigating chiral gauge theories with two-index representations
This paper studies a class of chiral SU(N) gauge theories with fermions in the two-index symmetric and anti-symmetric representations. The authors systematically analyze the global symmetries, anomalies, and infrared phases of these theories. Key findings include identifying theories that flow to conformal fixed points, showing that fermion composites cannot match anomalies in some cases, and determining minimal symmetry breaking patterns via condensate formation to match all anomalies. The response highlights the importance of discrete anomalies in constraining the infrared dynamics.
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