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

Anastasios C. Petkou | Zendy

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

Author(s) -

Anastasios C. Petkou

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/03/049

Subject(s) - dual (grammatical number) , scalar (mathematics) , physics , legendre transformation , mathematical physics , duality (order theory) , boundary (topology) , coupling (piping) , boundary value problem , theoretical physics , mathematics , mathematical analysis , quantum mechanics , pure mathematics , geometry , thermodynamics , art , literature , mechanical engineering , engineering

We argue that the AdS dual of the three dimensional critical O(N) vectormodel can be evaluated using the Legendre transform that relates the generatingfunctionals of the free UV and the interacting IR fixed points of the boundarytheory. As an example, we use our proposal to evaluate the minimal bulk actionof 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 andcomment on the bulk-boundary duality for subleading N.Comment: 17 pages, 1 figure, v2 references added, JHEP versio

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