Logarithmic CFT on the Boundary and the World-Sheet
نویسنده
چکیده
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 equation is used to determine the conditions for those representations to appear in the operator product expansions of the model. ∗[email protected] supported by Enterprise Ireland grant no. SC/98/739
منابع مشابه
World Sheet Logarithmic CFT in AdS Strings, Ghost-Matter Mixing and M-theory
We discuss several closely related concepts in the NSR formulation of superstring theory. We demonstrated that recently proposed NSR model for superstrings on AdS5×S 5 is described by the world-sheet logarithmic conformal field theory (LCFT). The origin of LCFT on a world-sheet is closely connected to the matter-ghost mixing in the structure of a brane-like vortex operators. We suggest a dynami...
متن کاملJ an 2 00 3 Logarithmic conformal field theory with boundary †
This lecture note covers topics on boundary conformal field theory, modular transformations and the Verlinde formula, and boundary logarithmic CFT. An introductory review on CFT with boundary and a discussion of its applications to logarithmic cases are given. LCFT at c = −2 is mainly discussed. This article is based on the lectures at the International Summer School on Logarithmic Conformal Fi...
متن کاملLogarithmic conformal field theory with boundary†
This lecture note covers topics on boundary conformal field theory, modular transformations and the Verlinde formula, and boundary logarithmic CFT. An introductory review on CFT with boundary and a discussion of its applications to logarithmic cases are given. LCFT at c = −2 is mainly discussed. This article is based on the lectures at the International Summer School on Logarithmic Conformal Fi...
متن کاملar X iv : h ep - t h / 04 04 22 6 v 1 2 8 A pr 2 00 4 On string backgrounds and ( logarithmic ) CFT 1
We discuss the link between string backgrounds and the associated world-sheet CFTs. In the search for new backgrounds and CFTs, Penrose limits and Lie algebra contractions are important tools. The Nappi-Witten construction and the recently discovered logarithmic CFT by Bakas and Sfetsos, are considered as illustrations. We also speculate on possible extensions. Based on invited talk presented a...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000