Abstract
The most general large \( \mathcal{N} \) = 4 superconformal \( \mathcal{W} \) ∞ algebra, containing in addition to the superconformal algebra one supermultiplet for each integer spin, is analysed in detail. It is found that the \( \mathcal{W} \) ∞ algebra is uniquely determined by the levels of the two su(2) algebras, a conclusion that holds both for the linear and the non-linear case. We also perform various cross-checks of our analysis, and exhibit two different types of truncations in some detail.
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Beccaria, M., Candu, C. & Gaberdiel, M.R. The large \( \mathcal{N} \) = 4 superconformal \( \mathcal{W} \) ∞ algebra. J. High Energ. Phys. 2014, 117 (2014). https://doi.org/10.1007/JHEP06(2014)117
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DOI: https://doi.org/10.1007/JHEP06(2014)117