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- W1989898570 abstract "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 = (dpm 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." @default.
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- W1989898570 date "2005-10-20" @default.
- W1989898570 modified "2023-10-16" @default.
- W1989898570 title "A solvable sector of AdS theory" @default.
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- W1989898570 doi "https://doi.org/10.1088/1126-6708/2005/10/062" @default.
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