2016/06/30 by Wen-Cong Gan, Fu-Wen Shu, Meng-He Wu · 4 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Geometry #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum many-body systems #State (computer science) #Surface (topology) #Thermal #Thermodynamics #gr-qc #hep-th
paper · pdf · open access · doi:10.1016/j.physletb.2017.07.011
published in Physics Letters B 772, 464-470 (Elsevier BV) · 13 pages, 3 figures
arxiv created 2016/08/17 · openalex publication_date 2017/07/12 · arxiv updated 2022/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.