Work

How Einstein’s equations emerge from CFT 2

Year: 2025

Type: article

Abstract: The of the entanglement entropies between disjoint subsystems enables us to show that the dynamical equation of the entanglement entropy in CFT 2 is precisely the three-dimensional Einstein equation. We establish a profound relation between the cosmological constant and CFT 2 entanglement entropy. Thus, entanglement entropies induce internal gravitational geometries in CFT 2 . Extracting the dual metric from an entanglement entropy becomes a straightforward procedure. Remarkably, we discover that the renormalization group equation is a geometric identity.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/zg5x-34mn

Authors: Xin Jiang, Peng Wang, Houwen Wu, Haitang Yang

Institution: Sichuan University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Natural Science Foundation of China

Awards: G5827761176, G8438346883, G8904392311