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arXiv · 1404.3105

Area Operators in Holographic Quantum Gravity

Marcelo Botta Cantcheff
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Abstract

We argue that the holographic formula relating entanglement entropy and the area of a minimal surface is the key to define the area of surfaces in the (emergent) spacetime from the dual theory on the boundary. So we promote the entropy/area relation to operators to define the "area" observable in a holographic formulation of quantum gravity, then we find a suitable geometric representation for the states, and show that the Ryu-Takayanagi proposal is recovered in the approximation of semi-classical gravity. Finally, we discuss this picture in the example of a AdS-Black hole.

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Marcelo Botta Cantcheff. 2014-04-11. Area Operators in Holographic Quantum Gravity. https://arxiv.org/abs/1404.3105

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