Realizations of the q-Heisenberg and q-Virasoro algebras
نویسندگان
چکیده
منابع مشابه
NUS/HEP/94203 hep-th/9408001 Realizations of the q-Heisenberg and q-Virasoro Algebras
We give field theoretic realizations of both the q-Heisenberg and the q-Virasoro algebra. In particular, we obtain the operator product expansions among the current and the energy momentum tensor obtained using the Sugawara construction.
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We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra Aq,p(sl(N))c. After establishing the expressions of the cocycle conditions, we solve them, both in the classical and in the quantum case (for sl(2)). We find that the consistent central extensions are much more general that those found previously in the...
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We reprove and generalize several results (including the main one) from the recent monograph [3] using the technique of generalized Weyl algebras.
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It is shown that a particular q-deformation of the Virasoro algebra can be interpreted in terms of the q-local field Φ(x) and the Schwinger-like point-splitted Virasoro currents, quadratic in Φ(x). The q-deformed Virasoro algebra possesses an additional index α, which is directly related to point-splitting of the currents. The generators in the q-deformed case are found to exactly reproduce the...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1994
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/27/10/020