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

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

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Abstract We explore the relationship between holoraumy WOMENS JUMPERS 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 Sprays 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).