On singular limits of relative entropies

2025/08/05 by Feng Xu, Xu, Feng
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations #Operator Algebras (math.OA) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2508.03271

openalex publication_date 2025/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we generalize a key result relating singular limits of certain relative entropies with index in the setting of conformal nets, which has played an important role recently in the mathematical theory of relative entropies in the context of Conformal Field Theory.

Citations

• From vertex operator superalgebras to graded-local conformal nets and back
• A note on continuous entropy
• On Relative Entropy and Global Index
• APS Medal for Exceptional Achievement in Research: Invited article on entanglement properties of quantum field theory
• Relative Entropy in CFT
• Entanglement measures and their properties in quantum field theory
• Strong additivity and conformal nets

Related

• On Relative Entropy and Global Index
• Bounds for the reduced relative entropies
• Relative Entropy in CFT
• Uhlmann's theorem for relative entropies
• Conformal Field Theory Ground States as Critical Points of an Entropy Function