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...
متن کاملConformal Mechanics and the Virasoro Algebra
We demonstrate that any scale-invariant mechanics of one variable exhibits not only 0+1 conformal symmetry, but also the symmetries of a full Virasoro algebra. We discuss the implications for the adS/CFT correspondence.
متن کاملThe Intergals of Motion for the Deformed Virasoro Algebra
We explicitly construct two classes of infinitly many commutative operators in terms of the deformed Virasoro algebra. We call one of them local integrals and the other nonlocal one, since they can be regarded as elliptic deformations of the local and nonlocal integrals of motion obtained by V.Bazhanov, S.Lukyanov and Al.Zamolodchikov [1].
متن کاملThe Deformed Virasoro Algebra at Roots of Unity
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...
متن کاملA coset-type construction for the deformed Virasoro algebra
An analog of the minimal unitary series representations for the deformed Virasoro algebra is constructed using vertex operators of the quantum affine algebra Uq(ŝl2). A similar construction is proposed for the elliptic algebra Aq,p(ŝl2).
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2019
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.5079812