2 00 1 W ( κ ) n algebra associated with the Moyal KdV Hierarchy
نویسنده
چکیده
We consider the Gelfand-Dickey (GD) structure defined by the Moyal ⋆-product with parameter κ, which not only defines the bi-Hamiltonian structure for the generalized Moyal KdV hierarchy but also provides a W (κ) n algebra containing the Virasoro algebra as a subalgebra with central charge κ2(n3 − n)/3. The free-field realization of the W (κ) n algebra is given through the Miura transformation and the cases for W (κ) 3 and W (κ) 4 are worked out in detail. PACS: 02.30.Ik, 02.20.Tw
منابع مشابه
κ ) n algebra associated with the Moyal KdV Hierarchy Ming
We consider the Gelfand-Dickey (GD) structure defined by the Moyal ⋆product with parameter κ, which not only defines the bi-Hamiltonian structure for the generalized Moyal KdV hierarchy but also provides a W (κ) n algebra containing the Virasoro algebra as a subalgebra with central charge κ2(n3 − n)/3. The free-field realization of the W (κ) n algebra is given through the Miura transformation a...
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