Singletons and Logarithmic CFT in ADS/CFT correspondence

Ian I. Kogan

Singletons and Logarithmic CFT in ADS/CFT correspondence

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arxiv hep-th/9903162 v2 pith:OD5J4O2G submitted 1999-03-18 hep-th

Ian I. Kogan This is my paper · ORCID

classification hep-th

keywords logarithmicboundarybulkfieldoperatorsingletonsingletonsconformal

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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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Analytic Bootstrap for Logarithmic CFT
hep-th 2019-08 conditional novelty 6.0 of 10

The leading large-spin anomalous dimension of double-trace operators in four-dimensional logarithmic CFTs behaves as γ0/ℓ^{τ_m}, where τ_m is the minimal twist, provided no operator has negative scaling dimension.

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