1,435 research outputs found
On General Off-Shell Representations of Worldline (1D) Supersymmetry
Every finite-dimensional unitary representation of the N-extended worldline
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 classification of the
continuum of so constructed off-shell supermultiplets.Comment: 21 pages, 5 illustrations; references update
Pengaruh Kepemimpinan Transformasional Dan Organizational Citizenship Behavior Terhadap Kinerja Karyawan
This study aimed at analyzing the effect of transformational and OCB leadership on employee performance with organizational commitment mediation. This research was conducted at PT. BPR Jaya Kerti. Sampling of this study made use census method with 46 employees. The data were collected through interviews and questionnaires. Data analysis techniques applied in this research was the analysis of the path. The results of the study showed that; 1) transformational leadership had positive and significant effect on organizational commitment, 2) the transformational leadership showed positive and significant effect on employee performance, 3) the OCB indicated positive and significant effect on organizational commitment, 4) the OCB had positive and significant effect on employee performance, 5) organizational commitment and significant showed positive effect on employee performance
An application of cubical cohomology to Adinkras and supersymmetry representations
An Adinkra is a class of graphs with certain signs marking its vertices and edges, which encodes off-shell representations of the super Poincaré algebra. The markings on the vertices and edges of an Adinkra are cochains for cubical cohomology. This article explores the cubical cohomology of Adinkras, treating these markings analogously to characteristic classes on smooth manifolds
Effective Symmetries of the Minimal Supermultiplet of N = 8 Extended Worldline Supersymmetry
A minimal representation of the N = 8 extended worldline supersymmetry, known
as the `ultra-multiplet', is closely related to a family of supermultiplets
with the same, E(8) chromotopology. We catalogue their effective symmetries and
find a Spin(4) x Z(2) subgroup common to them all, which explains the
particular basis used in the original construction. We specify a constrained
superfield representation of the supermultiplets in the ultra-multiplet family,
and show that such a superfield representation in fact exists for all adinkraic
supermultiplets. We also exhibit the correspondences between these
supermultiplets, their Adinkras and the E(8) root lattice bases. Finally, we
construct quadratic Lagrangians that provide the standard kinetic terms and
afford a mixing of an even number of such supermultiplets controlled by a
coupling to an external 2-form of fluxes.Comment: 13 Figure
Codes and Supersymmetry in One Dimension
Adinkras are diagrams that describe many useful supermultiplets in D=1
dimensions. We show that the topology of the Adinkra is uniquely determined by
a doubly even code. Conversely, every doubly even code produces a possible
topology of an Adinkra. A computation of doubly even codes results in an
enumeration of these Adinkra topologies up to N=28, and for minimal
supermultiplets, up to N=32.Comment: 48 pages, a new version that combines arXiv:0811.3410 and parts of
arXiv:0806.0050, for submission for publicatio
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