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.Comment: 13 pages, Late

A Computer Algorithm For Engineering Off-Shell Multiplets With Four Supercharges On The World Sheet

We present an adinkra-based computer algorithm implemented in a Mathematica code and use it in a limited demonstration of how to engineer off-shell, arbitrary N-extended world-sheet supermultiplets. Using one of the outputs from this algorithm, we present evidence for the unexpected discovery of a previously unknown 8 - 8 representation of N = 2 world sheet supersymmetry. As well, we uncover a menagerie of (p, q) = (3, 1) world sheet supermultiplets.Comment: 52 pages, 64 figures, LaTeX twice, added note in proof, addition of comments about gauge invariance for 4D vector & tensor supermultiplet

A Codicil To Massless Gauge Superfields of Higher Half-Odd Integer Superspins

We study theories of 4D, N=1 supersymmetric massless, arbitrary higher half odd-integer superspins. A new series of such theories is found to exist for arbitrary superspin Y (Y=s+1/2 for any integer s). The lowest member (s=1) of the series is the original off-shell formulation of 4D, N=1 supergravity first presented by Breitenlohner in 1977