Unitary Truncations and Critical Gravity: a Toy Model

Details Unitary Truncations and Critical Gravity: a Toy Model Unitary Truncations and Critical Gravity: a Toy Model

2012-01-02

arxiv.org/abs/1201.0449v2

Physics

High Energy Physics

High Energy Physics - Theory

21 pages. v2) to appear in JHEP. Discussion section modified and appendix added

Scientific paper

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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