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Recursion operators and constants of motion in supermechanics

✍ Scribed by JoséF. Cariñena; Héctor Figueroa

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
857 KB
Volume
10
Category
Article
ISSN
0926-2245

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✦ Synopsis

We prove that only even graded Poisson brackets can be characterized by the vanishing of the graded Schouten bracket of the associated graded tensor of type (0.2) with itself. On the other hand. we prove that the supertraces of different powers of an invariant graded tensor of type (I, I ) are constants ot motion, and that when such tensor is even, the infinitesimal supersymmetries it generates out of a given infinitesimal supersymmetry form a supercommutative superalgebra.

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