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Singletons and logarithmic CFT in ADS/CFT correspondence |
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| Institution: | 1. Beijing Engineering Research Center of Laser Technology, Institute of Laser Engineering, Beijing University of Technology, Beijing 100124, China;2. Key Laboratory of Trans-scale Laser Manufacturing Technology, Ministry of Education, Institute of Laser Engineering, Beijing University of Technology, Beijing 100124, China;3. The Beijing Key Laboratory for Nano-photonics and Nano-structure, Department of Physics, Capital Normal University, Beijing 100048, China |
| Abstract: | We discuss a possible relation between singletons in AdS space and logarithmic conformal field theories at the boundary of AdS. It is shown that the bulk Lagrangian for singleton field (singleton dipole) induces on the boundary the two-point correlation function for logarithmic pair. Bulk interpretation of mixing between logarithmic operator D and zero mode operator C under the scale transformation is discussed as well as some other issues. |
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