Entanglement in $\text{T}\bar{\text{T}}$ and root-$\text{T}\bar{\text{T}}$ deformed AdS$_3$/CFT$_2$

TL;DR

This paper explores how $ ext{T}ar{ ext{T}}$ and root-$ ext{T}ar{ ext{T}}$ deformations affect entanglement entropy in AdS$_3$/CFT$_2$, revealing their impact on quantum information measures in deformed holographic theories.

Contribution

It introduces a mixed boundary condition approach to analyze entanglement in deformed theories, providing new insights into their entanglement structure and quantum information properties.

Findings

Deformations alter entanglement entropy and reflected entropy.

Modified boundary conditions influence entanglement measures.

Results enhance understanding of quantum information in deformed holography.

Abstract

In this work, we investigate the effects of $\text{T}\bar{\text{T}}$ and root-$\text{T}\bar{\text{T}}$ deformations on reflected and entanglement entropy in the context of both pure and mixed state entanglement measures. Utilizing a mixed boundary condition framework, we analyze how these deformations modify entanglement structures and explore their implications in three-dimensional AdS space. Our results provide insights into the interplay between solvable irrelevant deformations and quantum information-theoretic quantities, shedding light on the entanglement structure of deformed theories.