2023/06/21 by Michele Arzano, Arzano, Michele, Alessandra D'Alise +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary conformal field theory #Boundary value problem #Classical mechanics #Conformal anomaly #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometry #High Energy Physics - Theory (hep-th) #Imaginary time #Mathematical physics #Mathematics #Minkowski space #Physics #Quantum #Quantum Physics (quant-ph) #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum statistical mechanics #Supersymmetric quantum mechanics
paper · pdf · doi:10.48550/arxiv.2306.12291
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain. States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory. Such states exhibit the structure of a thermofield double built on bipartite eigenstates of generators of non-global time evolution. In terms of the correspondence between radial conformal symmetries in Minkowski spacetime and time evolution in conformal quantum mechanics proposed in arXiv:2002.01836, arXiv:2103.07228, such generators coincide with conformal Killing vectors tangent to worldlines of Milne and diamond observers at constant radius. The temperature of the thermofield double states in conformal quantum mechanics reproduces the temperatures perceived by such diamond and Milne observers. We calculate the entanglement entropy associated to the thermofield double states and obtain a UV divergent logarithmic behaviour analogous to known results in two-dimensional conformal field theory in which the entangling boundary is point-like.