Logarithmic operators in SL ( 2 , IR ) WZNW model , Singletons and
ثبت نشده
چکیده
We discuss the role of singletons and logarithmic operators in AdS 3 string theory in the context of AdS 3 /CF T 2 correspondence.
منابع مشابه
OUTP-00-50P hep-th/0011056 Logarithmic operators in SL(2, IR) WZNW model, Singletons and AdS3/(L)CFT2 correspondence
We discuss the role of singletons and logarithmic operators in AdS 3 string theory in the context of AdS 3 /CF T 2 correspondence.
متن کاملLogarithmic operators in SL ( 2 , IR ) WZNW model , Singletons and AdS 3 / ( L ) CFT 2 correspondence
We discuss the origin of logarithmic operators in AdS 3 string theory. It is shown that j = − 1 2 representation can give logarithmic correlation functions in the boundary CFT. Singletons play a special role in AdS 3 /CF T 2 correspondence as they also give logarithmic correlation functions in boundary CFT. For this one has to cross the j = − 1 2 barrier and define correlation functions for j >...
متن کاملLogarithmic operators in the SL(2, R) WZNW model
We find some exact solutions of the Knizhnik-Zamolodchikov equation for the four point correlation functions that occur in the SL(2, R) WZNW model. They exhibit logarithmic behaviour in both the Kac-Moody and Virasoro parts. We discuss their implication for the operator product expansion. We also observe the appearance of several symmetries of the correlation functions. [email protected]...
متن کاملLogarithmic CFT on the Boundary and the World-Sheet
The correspondences between logarithmic operators in the CFTs on the boundary of AdS3 and on the world-sheet and dipole fields in the bulk are studied using the free field formulation of the SL(2, C)/SU(2) WZNW model. We find that logarithmic operators on the boundary are related to operators on the world-sheet which are in indecomposable representations of SL(2). The Knizhnik-Zamolodchikov equ...
متن کاملOrigin of Logarithmic Operators in Conformal Field Theories
We study logarithmic operators in Coulomb gas models, and show that they occur when the “puncture” operator of the Liouville theory is included in the model. We also consider WZNW models for SL(2,R), and for SU(2) at level 0, in which we find logarithmic operators which form Jordan blocks for the current as well as the Virasoro algebra. e-mail: [email protected] e-mail: a.lewis1@phy...
متن کامل