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

A bstract 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...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2022; no. 5
Main Authors James Gates, S., Hannon, Gabriel, Siew, Rui Xian, Stiffler, Kory
Format Journal Article
LanguageEnglish
Published 25.05.2022
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Summary:A bstract 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 $$ \mathcal{N} $$ 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 $$ \mathfrak{Spin} $$ Spin ( N ).
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2022)173