Generalized Wentzell boundary conditions and holography

Jochen Zahn
December 17, 2015
We discuss a free scalar field subject to generalized Wentzell boundary conditions. On the classical level, we prove well-posedness of the Cauchy problem and in particular causality. Upon quantization, we obtain a field that may naturally be restricted to the boundary. We discuss the holographic relation between this boundary field and the bulk field.

Keywords: 
holography, dimensional reduction, generalized free fields, generalized Wentzell boundary conditions

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