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arXiv · 1606.07628

Emergent geometry, thermal CFT and surface/state correspondence

Wen-Cong Gan·Fu-Wen Shu·Meng-He Wu
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Abstract

We study a conjectured correspondence between any codimension two convex surface and a quantum state (SS-duality for short). By generalizing thermofield double formalism to continuum version of the multi-scale entanglement renormalization ansatz (cMERA) and using the SS-duality, we show that thermal geometries naturally emerge as a result of hidden quantum entanglement between boundary CFTs. We therefore propose a general framework to emerge the thermal geometry from CFT at finite temperature. As an example, the case of $2d$ CFT is considered. We calculate its information metric and show that it is either BTZ black hole or thermal AdS as expected.

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Wen-Cong Gan, Fu-Wen Shu, Meng-He Wu. 2016-06-24. Emergent geometry, thermal CFT and surface/state correspondence. https://doi.org/10.1016/j.physletb.2017.07.011

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