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- W1544919069 abstract "We study the AdS/CFT correspondence at theexample of the renormalization group IR and UV fixpoint theories ofa Euclidean O(N)-symmetric vector field theory with $(underlinephi^2)^2$ interaction in 2 dimensions. These conformal fieldtheories are taken as starting point for a holographicreconstruction of corresponding bulk Euclidean AdS (EAdS) theories.It is based on the perturbative $1/N$-expansion and assumes afamily of fundamental tensor fields of arbitrary, even spin in bulkEAdS. In particular, we study the bulk vertices coupling three ormore tensor fields of arbitrary order, showing explicitly how allvertices can be given in terms of the three-valent vertex. On thetechnical side, we rely on a functional relation between thegenerating functions of the IR and UV fixpoint theories, termed“UV/IR-Duality”. The consistent use of an embedding-space formalismfor the EAdS hyperboloid is essential. As a result, we obtainsemi-classical path integrals for both bulk theories correspondingholographically to the boundary fixpoint theories. Theserepresentations bear in part resemblance to string theory and throwan interesting light on the localisation issue of the degrees offreedom in the AdS/CFT correspondence." @default.
- W1544919069 created "2016-06-24" @default.
- W1544919069 creator A5089924635 @default.
- W1544919069 date "2008-01-10" @default.
- W1544919069 modified "2023-09-26" @default.
- W1544919069 title "AdS/CFT Holography of the O(N)-symmetric $phi^4$ Vector Model" @default.
- W1544919069 hasPublicationYear "2008" @default.
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