Infinite-dimensional algebraic Spin $$ \mathfrak{Spin} $$ (N) structure in extended/higher dimensional SUSY holoraumy for valise and on shell supermultiplet representations

Autor: S. James Gates, Gabriel Hannon, Rui Xian Siew, Kory Stiffler
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2022, Iss 5, Pp 1-39 (2022)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2022)173
Popis: 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 N $$ \mathcal{N} $$ = 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 Spin $$ \mathfrak{Spin} $$ (N).
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