It is shown that the quantization of a superparticle propagating in an N = 1, D = 4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for higher spin fields in flat and AdS4 N = 1 superspace. The tensorial extension of the AdS4 superspace is proved to be a supergroup manifold OSp (1|4). The model is man...

We describe a nilpotent quotient algorithm for a certain type of infinite presentations: the so-called finite L-presentations. We then exhibit finite L-presentations for various interesting groups and report on the application of our nilpotent quotient algorithm to them. As result, we obtain conjectural descriptions of the lower central series structure of various interesting groups including t...

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n root of a Lie algebra and its dual (that is fractional supergroup ) based on the permutation group Sn invariant forms is formulated in the Hopf algebra formalism. Detailed discussion of S3-graded sl(2) algebras is done.

We introduce the h-deformation of the algebra of functions on the grass-mann supergroup Gr(1|1) via a contraction of Gr q (1|1).

We show that in the context of topological string theories N branes and M anti-branes give rise to Chern-Simons gauge theory with the gauge supergroup U (N |M). We also identify a deformation of the theory which corresponds to brane/anti-brane annihilation.

Exact supersymmetry can be maintained on non-anticommutative superspace with a twisted coproduct on the supergroup.We show that the usual exchange statistics for the superfields is not compatible with the twisted action of the superpoincaré group and find a statistics which is consistent with the twisted coproduct and imply interesting phenomena such as mixing of fermions and bosons under parti...

this study was conducted in order to investigate the problems and solutions to improve the employment situation in agriculture sector in karaj payam noor university students. statistical population are included all of karaj payam noor university graduate students (n=1320). using cochran formula, 120 students were selected as sample. for more credits of findings, 150 questionnaires were distribu...

Homogeneous superspaces arising from the general linear supergroup are studied within a Hopf algebraic framework. Spherical functions on homogeneous superspaces are introduced, and the structures of the superalgebras of the spherical functions on classes of homogeneous superspaces are described explicitly.