Lattice models, deformed Virasoro algebra and reduction equation
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...
متن کاملRepresentations of the Virasoro algebra from lattice models
We investigate in details how the Virasoro algebra appears in the scaling limit of the simplest lattice models of XXZ or RSOS type. Our approach is straightforward but to our knowledge had never been tried so far. We simply formulate a conjecture for the lattice stress-energy tensor motivated by the exact derivation of lattice global Ward identities. We then check that the proper algebraic rela...
متن کاملHamiltonian Reduction and the Construction of q-Deformed Extensions of the Virasoro Algebra
In this paper we employ the construction of Dirac bracket for the remaining current of sl(2)q deformed Kac-Moody algebra when constraints similar to those connecting the sl(2)-WZW model and the Liouville theory are imposed and show that it satisfy the q-Virasoro algebra proposed by Frenkel and Reshetikhin. The crucial assumption considered in our calculation is the existence of a classical Pois...
متن کاملAbelian current algebra and the Virasoro algebra on the lattice
We describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and corresponding hierarchy of conservation laws.
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2020
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/ab81d6