3,313 research outputs found
Gauge semi-simple extension of the Poincar\'e group
Based on the gauge semi-simple tensor extension of the Poincar\'e group
another alternative approach to the cosmological term problem is proposed.Comment: Latex, 4 pages. Correction of misprint
Supersymmetric Model with Grassmann-odd Lagrangian
A supersymmetric model with a Grassmann-odd Lagrangian is
proposed which, in contrast to the model with an even Lagrangian, contains not
only a kinetic term but also an interaction term for the coordinates entering
into one real scalar Grassmann-even (bosonic) superfield.Comment: 6 pages, LATEX 2e. The talk given at the International Conference
"Supersymmetries and Quantum Field Theory" (SSQFT'2000, NSC KIPT, Kharkov,
Ukraine, 25-29 July, 2000). To be published in the Proceedings of this
Conference. Corrections of misprint
Semi-simple extension of the (super)Poincar\'e algebra
A semi-simple tensor extension of the Poincar\'e algebra is proposed for the
arbitrary dimensions . A supersymmetric also semi-simple generalization of
this extension is constructed in the D=4 dimensions. This paper is dedicated to
the memory of Anna Yakovlevna Gelyukh.Comment: LaTeX, 9 pages. Some specifications are adde
Exterior Differentials in Superspace and Poisson Brackets of Diverse Grassmann Parities
It is shown that two definitions for the exterior differential in superspace,
giving the same exterior calculus, when applied to the Poisson bracket lead to
the different results. Examples of the even and odd linear brackets,
corresponding to semi-simple Lie groups, are given and their natural connection
with BRST and anti-BRST charges is indicated.Comment: 5 pages, LATEX 2.09. The talk at the 9th International Conference on
Supersymmetry and Unification of Fundamental Interactions (SUSY'01, JINR,
Dubna, Russia, 11-17 June, 2001). To be published in the Proceedings of this
Conference. Correction of misprint
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