Work

Finite Modular Hamiltonians and Their Singular Limits

Year: 2026
Type: preprint
Abstract: Using the open solid torus as a finite parent, we revisit modular flow for spherical regions in conformal field theory. Its nonsingular angular evolution gives finite modular generators in a very simple form, while an exact conformal map to a cavity frame recovers the Rindler, CHM, and stationary-source ball constructions as singular limits. The same finite parent also provides a regular completion of the center obstruction in the complexified ball flow. Charged, Dirac, and inhomogeneous scalar examples are given.
Institution: Sichuan University
Language: English
Open Access status: green
OpenAlex ID: W7222077079
Cites: 20
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Related to: 10