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Superspace Geometrical Representations of Extended Super Virasoro Algebras

Utilizing sets of super-vector fields (derivations), explicit expressions are obtained for; (a.) the 1D, N-extended superconformal algebra, (b.) the 1D, N-extended super Virasoro algebra for N = 1, 2 and 4 and (c.) a geometrical realization (GR) covering algebra that contains the super Virasoro algebra for arbitrary values of N. By use of such vector fileds, the super Virasoro algebra is embedded as a geometrical and model-independent structure in 1D and 2D Aleph-null-extended superspace.

preprint1998arXivOpen access
S. James Gates, Jr.Lubna Rana
hep-th
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S. James Gates, Jr.Lubna Rana

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