Coarse-graining in time, emergent temperature in 2d CFT at large central charge

2025/12/04 by Vos, Gideon
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2512.05197

Abstract

Using the monodromy method, a compact expression is obtained for the identity block contribution to the expectation value of two low-energy probe operators on a broad class of time-dependent heavy pure states in large-c 2d CFTs. It will be shown that the size of the compact spatial dimension sets a coarse-graining time-scale above which the thermal two-point function naturally emerges. A phenomena will be highlighted where the information of the pure state appears to get projected down to a single conformal representation. We will see that this projection is corroborated by known conformal bootstrap results.

Citations

• Monodromies of CFT correlates on the Lorentzian Cylinder
• Signatures of Bulk Black Hole Merger from Semi-classical 2d CFT
• On the 1/c expansion in 2d CFTs with degenerate operators
• Floquet conformal field theory
• Conformal Blocks Beyond the Semi-Classical Limit
• Worldline approach to semi-classical conformal blocks
• Entanglement Entropy at Large Central Charge
• Conformal Field Theory, Geometry, and Entropy

Related

• Scrambling in nearly thermalized states at large central charge
• 2D CFTs - Large Charge is not enough
• OPE = QNM
• Holographic thermalization of mutual and tripartite information in 2d CFTs
• Brane Detectors of a Dynamical Phase Transition in a Driven CFT