Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT$_2$s and holography
Abstract
We construct a replica technique to perturbatively compute the odd entanglement entropy (OEE) for bipartite mixed states in deformed CFTs. This framework is then utilized to obtain the leading order correction to the OEE for two disjoint intervals, two adjacent intervals, and a single interval in deformed thermal CFTs in the large central charge limit. The field theory results are subsequently reproduced in the high temperature limit from holographic computations for the entanglement wedge cross sections in the dual bulk finite cut-off BTZ geometries. We further show that for finite size deformed CFTs at zero temperature the corrections to the OEE are vanishing to the leading order from both field theory and bulk holographic computations.
Keywords
Cite
@article{arxiv.2307.04832,
title = {Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT$_2$s and holography},
author = {Debarshi Basu and Saikat Biswas and Ankur Dey and Boudhayan Paul and Gautam Sengupta},
journal= {arXiv preprint arXiv:2307.04832},
year = {2023}
}
Comments
31 pages, 4 figures, 1 appendix, matches the published version