Abstract
We exploit the 6D, \( \mathcal{N} \) = (1, 0) and \( \mathcal{N} \) = (1, 1) harmonic superspace approaches to construct the full set of the maximally supersymmetric on-shell invariants of the canonical dimension d = 12 in 6D, \( \mathcal{N} \) = (1, 1) supersymmetric Yang-Mills (SYM) theory. Both single- and double-trace invariants are derived. Only four single-trace and two double-trace invariants prove to be independent. The invariants constructed can provide the possible counterterms of \( \mathcal{N} \) = (1, 1) SYM theory at four-loop order, where the first double-trace divergences are expected to appear. We explicitly exhibit the gauge sector of all invariants in terms of \( \mathcal{N} \) = (1, 0) gauge superfields and find the absence of \( \mathcal{N} \) = (1, 1) supercompletion of the F6 term in the abelian limit.
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ArXiv ePrint: 2105.05899
Deceased. (Serafim Buyucli)
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Buyucli, S., Ivanov, E. Higher-dimensional invariants in 6D super Yang-Mills theory. J. High Energ. Phys. 2021, 190 (2021). https://doi.org/10.1007/JHEP07(2021)190
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DOI: https://doi.org/10.1007/JHEP07(2021)190