Evaluating the AdS dual of the criticalO(N) vector model

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

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 mode...

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AdS Dual of the Critical O ( N ) Vector Model

We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in AdSd+1 and large N conformal theories in d dimensions containing N -component vector fields. In particular, we propose that the singlet sector of the well-known critical 3-d O(N) model with the (φφ) interaction is dual, in the large N limit, to the minimal bosonic theory in AdS4 containing ...

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2003

ISSN: 1029-8479

DOI: 10.1088/1126-6708/2003/03/049