Beyond CFT : Deformed Virasoro and Elliptic Algebras

نویسنده

  • Satoru Odake
چکیده

In this lecture we discuss ‘beyond CFT’ from symmetry point of view. After reviewing the Virasoro algebra, we introduce deformed Virasoro algebras and elliptic algebras. These algebras appear in solvable lattice models and we study them by free field approach.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bosonization of ZF Algebras: Direction Toward Deformed Virasoro Algebra

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...

متن کامل

Central extensions of classical and quantum q-Virasoro algebras

We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra Aq,p(sl(N))c. After establishing the expressions of the cocycle conditions, we solve them, both in the classical and in the quantum case (for sl(2)). We find that the consistent central extensions are much more general that those found previously in the...

متن کامل

Sugawara and Vertex Operator Constructions for Deformed Virasoro Algebras

From the defining exchange relations of the A q,p (gl N) elliptic quantum algebra , we construct subalgebras which can be characterized as q-deformed W N algebras. The consistency conditions relating the parameters p, q, N and the central charge c are shown to be related to the singularity structure of the functional coefficients defining the exchange relations of specific vertex operators repr...

متن کامل

OPE formulae for deformed super - Virasoro algebras

We show the OPE formulae for three types of deformed super-Virasoro algebras: Chaichian-Presnajder's deformation, Belov-Chaltikhian's one and its modified version. Fundamental (anti-)commutation relations toward a ghost realization of deformed super-Virasoro algebra are also discussed.

متن کامل

Note on the Algebra of Screening Currents for the Quantum Deformed W -Algebra

With slight modifications in the zero modes contributions, the positive and negative screening currents for the quantum deformed W -algebra Wq,p(g) can be put together to form a single algebra which can be regarded as an elliptic deformation of the universal enveloping algebra of ĝ, where g is any classical simply-laced Lie algebra. Recently, various deformations of the classical and quantum Vi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999