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.

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

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