Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-06-02
JHEP 0510:062,2005
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 8 figures
Scientific paper
10.1088/1126-6708/2005/10/062
Field theory in space-time with boundary has an interesting sub-sector, where propagator is difference of those with Neumann and Dirichlet boundary conditions. Such boundary-induced theory in the bulk is essentially holomorphic and is exactly solvable in the sense that all orders of perturbation theory can be summed up explicitly into effective non-local theory at the boundary. This provides a non-trivial realization of holography principle. In the particular example of scalar fields of dimensions \Delta_\pm = (d\pm 1)/2 in AdS_{d+1} the corresponding effective conformal theory has propagators |\vec p |^{-1} and vertices (|\vec p_1| + ... + |\vec p_n|)^{-s_n} of valence n in momentum representation, with s_n = (n-2)\Delta_- - 1. This extraordinary simplicity of certain amplitudes in AdS seems inspiring and can be helpful for analyzing corollaries of open-closed string duality for particular field-theory sub-sectors of string theory.
Krotov Denis
Morozov Alexander
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