Chiral anomalies in six dimensions from harmonic superspace

Abstract

We develop a superfield approach to compute chiral anomalies in general $\mathcal{N}=(1,0)$ supersymmetric gauge theories in six dimensions. Within the harmonic-superspace formulation for these gauge theories, the anomalous contributions to the effective action only come from matter and ghost hypermultiplets. By studying the short-distance behaviour of the propagator for the hypermultiplet coupled to a background vector multiplet, we compute the covariant and consistent chiral anomalies. We also provide a superform formulation for the non-abelian anomalous current multiplet in general $\mathcal{N}=(1,0)$ supersymmetric gauge theories.

arXiv comment33 pages

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Cited by in corpus (4)

• One-loop beta-functions in 4-derivative gauge theory in 6 dimensions
• Non-conformal supercurrents in six dimensions
• On two-loop divergences of effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Higher-dimensional invariants in $6D$ super Yang-Mills theory