Papers โ€บ Infinite-Dimensional Algebraic ๐”–๐”ญ๐”ฆ๐”ซ(N) Structure in Extended/Higher Dimensional SUSY...

Infinite-Dimensional Algebraic ๐”–๐”ญ๐”ฆ๐”ซ(N) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations

13 Oct 2020arXiv:2010.06124links table onlyarchive 2025-07-28

S. James Gates, Jr., Gabriel Hannon, Rui Xian Siew, Kory Stiffler

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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 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 ๐”–๐”ญ๐”ฆ๐”ซ(N).

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