Singletons and Logarithmic CFT in ADS/CFT correspondence

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, LaTex file, corrected typos

Scientific paper

10.1016/S0370-2693(99)00576-6

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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