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QFT holography near the horizon of Schwarzschild-like spacetimes

V. Moretti·N. Pinamonti
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Abstract

It is argued that free QFT can be defined on the event horizon of a Schwarzschild-like spacetime and that this theory is unitarily and algebraically equivalent to QFT in the bulk (near the horizon). Under that unitary equivalence the bulk hidden SL(2,R) symmetry found in a previous work becomes manifest on the event horizon, it being induced by a group of horizon diffeomorphisms. The class of generators of that group can be enlarged to include a full Virasoro algebra of fields which are defined on the event horizon. These generators have a quantum representation in QFT on the event horizon and thus in the bulk.

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V. Moretti, N. Pinamonti. 2003-04-15. QFT holography near the horizon of Schwarzschild-like spacetimes. https://arxiv.org/abs/hep-th/0304102

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