Chiral anomalies in higher-derivative supersymmetric 6D gauge theories

Abstract

We show that the recently constructed higher-derivative 6D SYM theory involves an internal chiral anomaly breaking gauge invariance. The anomaly is cancelled when adding to the theory an adjoint matter hypermultiplet.

arXiv commentA missed contribution added. The article is rather essentially reshuffled

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• One-loop beta-functions in 4-derivative gauge theory in 6 dimensions
• Foundations of ghost stability
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• Cryptoreality of nonanticommutative Hamiltonians
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• The renormalization structure of $6D$, $\mathcal{N}=(1,0)$ supersymmetric higher-derivative gauge theory
• Chiral anomalies in six dimensions from harmonic superspace
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
• On the two-loop divergences in 6D, $\mathcal{N}=(1,1)$ SYM theory
• On two-loop divergences of effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Conformal a-anomaly of some non-unitary 6d superconformal theories
• Constructing Nonabelian (1,0) Hypermultiplet Theories in Six Dimensions