On General Off-Shell Representations of World Line (1D) Supersymmetry

Symmetry

Charles F. Doran²  Tristan H࿋sch¹  Kevin M. Iga³ 

[1] Department of Physics & Astronomy, Howard University, Washington, DC 20059, USA; E-Mail:;Department of Mathematics, University of Alberta, Edmonton, AB T6G 2G1, Canada;Natural Science Division, Pepperdine University, Malibu, CA 91301, USA; E-Mail:

关键词: supersymmetry;    off-shell supermultiplet;    quantum theory;   

DOI  :  10.3390/sym6010067

来源: mdpi

【 摘 要 】

Every finite-dimensional unitary representation of the N-extended world line supersymmetry without central charges may be obtained by a sequence of differential transformations from a direct sum of minimal Adinkras, simple supermultiplets that are identifiable with representations of the Clifford algebra. The data specifying this procedure is a sequence of subspaces of the direct sum of Adinkras, which then opens an avenue for the classification of the continuum of the so-constructed off-shell supermultiplets.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland