Abstract
We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this relationship to be ephemeral beyond six dimensions: it is not demanded by the structure of such supersymmetrical theories. In four dimensions for the case of the vector-tensor \( \mathcal{N} \) = 4 multiplet, however, we show that such a linkage is present. Reduction to 1D theories presents evidence for a linkage from higher-dimensional supersymmetry to an infinite-dimensional algebra extending \( \mathfrak{Spin} \)(N).
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James Gates, S., Hannon, G., Siew, R.X. et al. Infinite-dimensional algebraic \( \mathfrak{Spin} \)(N) structure in extended/higher dimensional SUSY holoraumy for valise and on shell supermultiplet representations. J. High Energ. Phys. 2022, 173 (2022). https://doi.org/10.1007/JHEP05(2022)173
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DOI: https://doi.org/10.1007/JHEP05(2022)173