On singular limits of relative entropies

TL;DR

This paper extends a fundamental result connecting singular limits of relative entropies with index in conformal nets, advancing the mathematical understanding of entropy in Conformal Field Theory.

Contribution

It generalizes a key result on singular limits of relative entropies within conformal nets, enriching the theoretical framework of entropy in Conformal Field Theory.

Findings

Generalized the relation between singular limits of relative entropies and index.

Enhanced the mathematical foundation of entropy concepts in Conformal Field Theory.

Provided new tools for analyzing entropy in quantum field theories.

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.