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High Energy Physics - Theory
Title: Correlation functions and quantum measures of descendant states
(Submitted on 21 Dec 2020 (v1), last revised 21 May 2021 (this version, v2))
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 $c$.
Submission history
From: Enrico Brehm [view email][v1] Mon, 21 Dec 2020 11:12:53 GMT (629kb,AD)
[v2] Fri, 21 May 2021 12:24:31 GMT (596kb,D)
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