Extended holography: double-trace deformation and brane-induced gravity models

We put forward a conjecture that for a special class of models – models of the double-trace deformation and brane-induced gravity types – the principle of holographic dualitiy can be extended beyond conformal invariance and anti-de Sitter (AdS) isometry. Such an extension is based on a special relation between functional determinants of the operators acting in the bulk and on the boundary