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.

arXiv comment8 pages, 2 figures

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• Low-energy $6D$, $\mathcal{N}=(1,1)$ SYM effective action beyond the leading approximation
• On the two-loop divergences in 6D, $\mathcal{N}=(1,1)$ SYM theory
• Higher-dimensional invariants in $6D$ super Yang-Mills theory
• On two-loop divergences of effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Hidden supersymmetry as a key to constructing low-energy superfield effective actions
• Supersymmetry at BLTP: Recent Progress in Two Directions