Area density of localization-entropy II: double cone-holography, holographic symmetry and its relation to the classical BMS group

The previously analyzed holographic encoding of bulk matter is generalized from wedges to double cones. As a result of the conformal invariance of the holographically projected wedge-bulk matter, one may apply a conformal transformation in the ambient space which maps the holographic projection of the wedge into that of the double cone. In the massive case this conformal map cannot be used for the (non-conformal) bulk, it only exists between holographic projections. This permits to transfer the area dependence and the one-parametric logarithmic vacuum polarization factor from the wedgeto the doublecone localization. In contrast to the classical Bondi-Metzner-Sachs symmetry which is related to the asymptotic peeling property, the holographic symmetry which is a pure quantum (vacuum-polarization) phenomenon extends to the bulk matter where it acts in a non-geometric (fuzzy) fashion as a Non-Noetherian symmetry. The holographic group is much larger and contains the BMS group in