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Investigating chiral gauge theories with two-index representations

Published on:

15 August 2023

Primary Category:

High Energy Physics - Theory

Paper Authors:

Mohamed M. Anber,

Samson Y. L. Chan

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Key Details

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

AI generated summary

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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