Mixed state entanglement measures for open string geometry
Abstract
In the gauge/gravity framework flavor degrees of freedom are introduced to the gauge theory side through the insertion of probe flavor D branes in the supergravity background. Scalar, vector or spinor fluctuations on theses flavor branes perceive neither the background supergravity metric nor the worldvolume-induced metric of the flavor branes. Indeed, they follow an effective metric called the open string metric (OSM). Through a proper choice of worldvolume gauge fields, one can induce a horizon structure in these OSMs. Studying holographic information-theoretic quantities in these kinds of geometries is equivalent to studying information-theoretic quantities in the flavor sector on the gauge theory side. In this article, we have studied various information-theoretic measures like mutual information, entanglement wedge cross-section and entanglement negativity for an open string geometry. All the calculations are done by considering strip-like parallel boundary subsystems for three- and four-dimensional OSMs. We have also measured the change in these mixed-state information-theoretic quantities from the relevant quantities in the pure AdS geometry due to the application of a background electric field.
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BibTeX
@misc{paul2026mixed,
title = {{Mixed state entanglement measures for open string geometry}},
author = {Souvik Paul and Anirban Roy Chowdhury and Sunandan Gangopadhyay},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13137},
eprint = {2609.13137},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13137},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Mixed state entanglement measures for open string geometry
AU - Souvik Paul
AU - Anirban Roy Chowdhury
AU - Sunandan Gangopadhyay
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.13137
UR - https://arxiv.org/abs/2609.13137
AB - In the gauge/gravity framework flavor degrees of freedom are introduced to the gauge theory side through the insertion of probe flavor D branes in the supergravity background. Scalar, vector or spinor fluctuations on theses flavor branes perceive neither the background supergravity metric nor the worldvolume-induced metric of the flavor branes. Indeed, they follow an effective metric called the open string metric (OSM). Through a proper choice of worldvolume gauge fields, one can induce a horizon structure in these OSMs. Studying holographic information-theoretic quantities in these kinds of geometries is equivalent to studying information-theoretic quantities in the flavor sector on the gauge theory side. In this article, we have studied various information-theoretic measures like mutual information, entanglement wedge cross-section and entanglement negativity for an open string geometry. All the calculations are done by considering strip-like parallel boundary subsystems for three- and four-dimensional OSMs. We have also measured the change in these mixed-state information-theoretic quantities from the relevant quantities in the pure AdS geometry due to the application of a background electric field.
ER -