Graded q-pseudo-differential Operators and Supersymmetric Algebras

Details Graded q-pseudo-differential Operators and Supersymmetric Algebras Graded q-pseudo-differential Operators and Supersymmetric Algebras

2000-11-08

arxiv.org/abs/hep-th/0011055v3

J.Phys.A35:3697-3702,2002

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex

Scientific paper

10.1088/0305-4470/35/16/308

We give a supersymmetric generalization of the sine algebra and the quantum
algebra $U_{t}(sl(2))$. Making use of the $q$-pseudo-differential operators
graded with a fermionic algebra, we obtain a supersymmetric extension of sine
algebra. With this scheme we also get a quantum superalgebra $U_{t}(sl(2/1)$.

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