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9 papers · 2 filters
Graded q-pseudo-differential Operators and Supersymmetric Algebras
Ahmed Jellal, El Hassan El Kinani
We give a supersymmetric generalization of the sine algebra and the quantum algebra . Making use of the -pseudo-differential operators graded with a fermionic alge…
On the harmonic superspace language adapted to the Gelfand-Dickey algebra of differential operators
M. Hssaini, M. Kessabi, B. Maroufi +1
Methods developed for the analysis of non-linear integrable models are used in the harmonic superspace (HS) framework. These methods, when applied to the HS, can lead to extract mo…
On the Fairlie's Moyal formulation of M(atrix)- theory
M. Hssaini, M. B. Sedra, M. Bennai +1
Starting from the Moyal formulation of M-theory in the large N-limit, we propose to reexamine the associated membrane equations of motion in 10 dimensions formulated in terms of Po…
On HyperKahler Singularities
A. Belhaj, E. H. Saidi
Using a geometric realization of the symmetry and a procedure of factorisation of the gauge and charges, we study the small instanton singularities of the Higgs…
Non Trivial Extension of the (1+2)-Poincaré Algebra and Conformal Invariance on the Boundary of
I. Benkaddour, A. El. Rhalami, E. H. Saidi
Using recent results on string on , where N is a d-dimensional compact manifold, we re-examine the derivation of the non trivial extension of the (1+2) dimension…
Explicit Derivation of Yang-Mills Self-Dual Solutions on non-Commutative Harmonic Space
A. Belhaj, M. Hssaini, E. L. Sahraoui +1
We develop the noncommutative harmonic space (NHS) analysis to study the problem of solving the non-linear constraint eqs of noncommutative Yang-Mills self-duality in four-dimensio…