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Graded q-pseudo-differential Operators and Supersymmetric Algebras
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classification
hep-th
keywords
algebrasupersymmetricgradedoperatorsquantumsinealgebrasextension
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abstract
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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