Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-22
Phys.Rev. D68 (2003) 024027
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, LaTeX, v.2:minor changes, v.3:comments added, v.4:several new results, discussions, references and a section of Conc
Scientific paper
10.1103/PhysRevD.68.024027
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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