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Spinor Field Realizations of Non-critical Strings
In this paper, we construct the nilpotent Becchi-Rouet-Stora-Tyutin()
charges of spinor non-critical strings. The cases of are
discussed in detail, and spinor realization for is given explicitly. The
charges are graded.Comment: 9 pages, no figure
Classification of irreducible weight modules over higher rank Virasoro algebras
Let be a rank additive subgroup of \bC and \Vir[G] the
corresponding Virasoro algebra of rank . In the present paper, irreducible
weight modules with finite dimensional weight spaces over \Vir[G] are
completely determined. There are two different classes of them. One class
consists of simple modules of intermediate series whose weight spaces are all
1-dimensional. The other is constructed by using intermediate series modules
over a Virasoro subalgebra of rank . The classification of such modules
over the classical Virasoro algebra was obtained by O. Mathieu in 1992 using a
completely different approach.Comment: 24 page
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