Evaluating the AdS dual of the critical O(N) vector model

Details Evaluating the AdS dual of the critical O(N) vector model Evaluating the AdS dual of the critical O(N) vector model

2003-02-10

arxiv.org/abs/hep-th/0302063v2

JHEP 0303 (2003) 049

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 1 figure, v2 references added, JHEP version

Scientific paper

10.1088/1126-6708/2003/03/049

We argue that the AdS dual of the three dimensional critical O(N) vector model can be evaluated using the Legendre transform that relates the generating functionals of the free UV and the interacting IR fixed points of the boundary theory. As an example, we use our proposal to evaluate the minimal bulk action of the scalar field that it is dual to the spin-zero ``current'' of the O(N) vector model. We find that the cubic bulk self interaction coupling vanishes. We briefly discuss the implications of our results for higher spin theories and comment on the bulk-boundary duality for subleading N.

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