Multi-Trace Operators and the Generalized AdS/CFT Prescription
Abstract
We show that multi-trace interactions can be consistently incorporated into an extended AdS/CFT prescription involving the inclusion of generalized boundary conditions and a modified Legendre transform prescription. We find new and consistent results by considering a self-contained formulation which relates the quantization of the bulk theory to the AdS/CFT correspondence and the perturbation at the boundary by double-trace interactions. We show that there exist particular double-trace perturbations for which irregular modes are allowed to propagate as well as the regular ones. We perform a detailed analysis of many different possible situations, for both minimally and non-minimally coupled cases. In all situations, we make use of a new constraint which is found by requiring consistence. In the particular non-minimally coupled case, the natural extension of the Gibbons-Hawking surface term is generated.
Cite
@article{arxiv.hep-th/0201172,
title = {Multi-Trace Operators and the Generalized AdS/CFT Prescription},
author = {Pablo Minces},
journal= {arXiv preprint arXiv:hep-th/0201172},
year = {2009}
}
Comments
27 pages, LaTeX, v.2:minor changes, v.3:comments added, v.4:several new results, discussions, references and a section of Conclusions added. Previous results unchanged, v.5: minor changes. Final version to be published in Phys.Rev.D