On the two-loop divergences of the 2-point hypermultiplet supergraphs for $6D$, $\mathcal{N}=(1,1)$ SYM theory

Abstract

We consider $6D$, $\mathcal{N}=(1,1)$ supersymmetric Yang-Mills theory formulated in $\mathcal{N}=(1,0)$ harmonic superspace and analyze the structure of the two-loop divergences in the hypermultiplet sector. Using the $\mathcal{N}=(1,0)$ superfield background field method we study the two-point supergraphs with the hypermultiplet legs and prove that their total contribution to the divergent part of effective action vanishes off shell.

8 pages, 2 figures

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• Chiral anomalies in higher-derivative supersymmetric 6D gauge theories
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• One-loop divergences in the 6D, N=(1,0) abelian gauge theory