Abstract
We revisit the issue of higher-dimensional counterterms for the \( \mathcal{N}=\left(1,1\right) \) supersymmetric Yang-Mills (SYM) theory in six dimensions using the off-shell \( \mathcal{N}=\left(1,0\right) \) and on-shell \( \mathcal{N}=\left(1,1\right) \) harmonic superspace approaches. The second approach is developed in full generality and used to solve, for the first time, the \( \mathcal{N}=\left(1,1\right) \) SYM constraints in terms of \( \mathcal{N}=\left(1,0\right) \) superfields. This provides a convenient tool to write explicit expressions for the candidate counterterms and other \( \mathcal{N}=\left(1,1\right) \) invariants and may be conducive to proving non-renormalization theorems needed to explain the absence of certain logarithmic divergences in higher-loop contributions to scattering amplitudes in \( \mathcal{N}=\left(1,1\right) \) SYM.
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ArXiv ePrint: 1509.08027
Dedicated to the memory of Boris Zupnik
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Bossard, G., Ivanov, E. & Smilga, A. Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace. J. High Energ. Phys. 2015, 1–59 (2015). https://doi.org/10.1007/JHEP12(2015)085
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DOI: https://doi.org/10.1007/JHEP12(2015)085