A note on the deformed Virasoro algebra
نویسندگان
چکیده
منابع مشابه
A note on the deformed Virasoro algebra
A current of the deformed Virasoro algebra is identified with the ZamolodchikovFaddeev operator for the basic scalar particle in the XYZ model. September, 95 † On leave of absence from L.D. Landau Institute for Theoretical Physics, Kosygina 2, Moscow, Russia ∗ e-mail address: [email protected] The studies of infinite dimensional algebras has turned out to be the main tendency in the rece...
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We discuss some aspects of the representation theory of the deformed Virasoro algebra Virp,q. In particular, we give a proof of the formula for the Kac determinant and then determine the center of Virp,q for q a primitive N -th root of unity. We derive explicit expressions for the generators of the center in the limit t = qp → ∞ and elucidate the connection to the Hall-Littlewood symmetric func...
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These lectures were prepared to be presented at A.A. Belavin seminar on CFT at Landau Institute for Theoretical Physics. We review bosonization of CFT and show how it can be applied to the studying of representations of Zamolodchikov-Faddeev (ZF) algebras. In the bosonic construction we obtain explicit realization of chiral vertex operators interpolating between irreducible representations of t...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1996
ISSN: 0370-2693
DOI: 10.1016/0370-2693(95)01410-1