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Unitary Truncations and Critical Gravity: a Toy Model

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arxiv 1201.0449 v3 pith:M5FSIFPS submitted 2012-01-02 hep-th

Eric A. Bergshoeff , Sjoerd de Haan , Wout Merbis , Massimo Porrati , Jan Rosseel This is my paper · ORCID
classification hep-th
keywords modelcorrelationcriticalfunctionsgravityhigher-derivativehigher-rankscalar
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We investigate a higher-derivative scalar field model in a fixed d+1 dimensional AdS background as a toy model for a gravitational dual to a higher-rank logarithmic CFT. The holographic two-point correlation functions on the boundary agree with higher-rank LCFT correlation functions. For odd rank, the theory allows for a truncation to a nontrivial subspace with non-negative scalar product. We discuss possible implications for higher-derivative critical gravity theories.

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  1. 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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