# R\'enyi Mutual Information in Holographic Warped CFTs

## TL;DR

This paper investigates the Rnyi mutual information in holographic warped CFTs, providing new calculations at large central charge and small cross-ratio, and confirming results through conformal block expansion and bulk 1-loop analysis.

## Contribution

It introduces a detailed computation of Rnyi mutual information in warped CFTs, extending understanding beyond classical order with new analytical methods.

## Key findings

- Leading order RMI derived and confirmed via conformal blocks.
- Next-to-leading order RMI computed and matched with bulk 1-loop results.
- Results enhance understanding of holographic duality in warped CFTs.

## Abstract

The study of R\'enyi mutual information (RMI) sheds light on the AdS/CFT correspondence beyond classical order. In this article, we study the R\'enyi mutual information between two intervals at large distance in two-dimensional holographic warped conformal field theory, which is conjectured to be dual to the gravity on AdS3 or warped AdS3 spacetime under the Dirichlet-Newman boundary conditions. By using the operator product expansion of twist operators up to level 3, we read the leading oder and the next-toleading order RMI in the large central charge and small cross-ratio limits. The leading order result is furthermore confirmed using the conformal block expansion. Finally, we match the next-to-leading result by a 1-loop calculation in the bulk.