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arxiv: hep-th/9307075 · v1 · submitted 1993-07-10 · ✦ hep-th

Discretization of Virasoro Algebra

classification ✦ hep-th
keywords algebradiscretizationquantumbracketdeformationderiveddifferentfields
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A $q$-discretization of \vi\ algebra is studied which reduces to the ordinary \vi\ algebra in the limit of $q \ra 1$. This is derived starting from the Moyal bracket algebra, hence is a kind of quantum deformation different from the quantum groups. Representation of this new algebra by using $q$-parametrized free fields is also given.

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