Zamolodchikov operator-valued relations for WZNW model
نویسندگان
چکیده
منابع مشابه
Zamolodchikov operator-valued relations for SL(2, R)k WZNW model
An infinite set of operator-valued relations that hold for reducible representations of the ˆ sl(2)k algebra is derived. These relations are analogous to those recently obtained by Zamolodchikov which involve logarithmic fields associated to the Virasoro degenerate representations in Liouville theory. The fusion rules of the ˆ sl(2)k algebra turn out to be a crucial step in the analysis. The po...
متن کاملZamolodchikov relations and Liouville hierarchy in SL(2, R)k WZNW model
We study the connection between Zamolodchikov operator-valued relations in Liouville field theory and in the SL(2,R)k WZNW model. In particular, the classical relations in SL(2,R)k can be formulated as a classical Liouville hierarchy in terms of the isotopic coordinates, and their covariance is easily understood in the framework of the AdS3/CFT2 correspondence. Conversely, we find a closed expr...
متن کاملKnizhnik-Zamolodchikov-type equations for gauged WZNW models
We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole. e-mail: [email protected] e-mail: a.lewis1@...
متن کاملOperator-valued tensors on manifolds
In this paper we try to extend geometric concepts in the context of operator valued tensors. To this end, we aim to replace the field of scalars $ mathbb{R} $ by self-adjoint elements of a commutative $ C^star $-algebra, and reach an appropriate generalization of geometrical concepts on manifolds. First, we put forward the concept of operator-valued tensors and extend semi-Riemannian...
متن کاملEgoroff Theorem for Operator-Valued Measures in Locally Convex Cones
In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...
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: Nuclear Physics B
سال: 2004
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2004.07.007