Abstract
Abstract 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 higherderivative critical gravity theories.
Highlights
New Massive Gravity instead can be formulated in dimensions higher than three
On the dual field theory side this means that there should exist a consistent truncation of the LCFT that leads to an ordinary CFT
We calculate two-point correlation functions on the boundary and we show that these agree with the rank r LCFT two-point correlators
Summary
We propose a scalar field model dual to a rank r LCFT. We proceed to calculate the scalar product in the bulk and we point out the existence of a nontrivial subspace for odd rank with positive definite inner product. The equations of motion and the on-shell action are invariant under a shift of the scalar fields by: i−1 φi → φi + λkφi−k k=1. We assume that the scalar field configuration decouples from the metric equations of motions at least up to the order of coefficients that contribute to any divergent terms in the bulk action. This assumption justifies ignoring the back reaction of the scalars on the metric
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
