Correlation functions and quantum measures of descendant states

TL;DR

This paper presents a recursive computational method for correlation functions of descendant states in 2D CFT and applies it to study entanglement measures, testing conjectures and exploring holography.

Contribution

It introduces a recursive algorithm for descendant state correlators and applies it to entanglement measures, advancing analysis of holographic duals.

Findings

Validated the recursive formula for correlation functions.

Analyzed entanglement measures for descendant states.

Provided evidence supporting the Re9nyi QNEC conjecture.

Abstract

We discuss a computer implementation of a recursive formula to calculate correlation functions of descendant states in two-dimensional CFT. This allows us to obtain any $N$-point function of vacuum descendants, or to express the correlator as a differential operator acting on the respective primary correlator in case of non-vacuum descendants. With this tool at hand, we then study some entanglement and distinguishability measures between descendant states, namely the R\'enyi entropy, trace square distance and sandwiched R\'enyi divergence. Our results provide a test of the conjectured R\'enyi QNEC and new tools to analyse the holographic description of descendant states at large $c$.