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arXiv · hep-th/0201172

Multi-Trace Operators and the Generalized AdS/CFT Prescription

Pablo Minces
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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.

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Pablo Minces. 2003-05-28. Multi-Trace Operators and the Generalized AdS/CFT Prescription. https://doi.org/10.1103/physrevd.68.024027

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