この論文をさがす
説明
<jats:p> The para-Grassmann differential calculus is briefly reviewed. Algebras of the transformations of the para-superplane preserving the form of the para-superderivative are constructed and their geometric meaning is discussed. A new feature of these algebras is that they contain generators of the automorphisms of the para-Grassmann algebra (in addition to Ramond-Neveu-Schwarz-like conformal generators). As a first step in analyzing these algebras we introduce more tractable multilinear algebras not including the new generators. In these algebras there exists a set of multilinear identities based on the cyclic polycommutators. Different possibilities of the closure are therefore admissible. The central extensions of the algebras are given. Their number varies from 1 to [Formula: see text], depending on the form of the closure chosen. Finally, simple explicit examples of the paraconformal transformations are given. </jats:p>
収録刊行物
-
- International Journal of Modern Physics A
-
International Journal of Modern Physics A 08 4973-5003, 1993-11-10
World Scientific Pub Co Pte Lt