Bulk quantum corrections to entwinement

Abstract We determine 1/N corrections to a notion of generalized entanglement entropy known as entwinement dual to the length of a winding geodesic in asymptotically AdS3 geometries. We explain how 1/N corrections can be computed formally via the FLM formula by relating entwinement to an ordinary en...

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Bibliographic Details
Main Authors: Marius Gerbershagen, Dongming He
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2025)103
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Summary:Abstract We determine 1/N corrections to a notion of generalized entanglement entropy known as entwinement dual to the length of a winding geodesic in asymptotically AdS3 geometries. We explain how 1/N corrections can be computed formally via the FLM formula by relating entwinement to an ordinary entanglement entropy in a fictitious covering space. Moreover, we explicitly compute 1/N corrections to entwinement for thermal states and small winding numbers using a monodromy method to determine the corrections to the dominant conformal block for the replica partition function. We also determine a set of universal corrections at finite temperature for large winding numbers. Finally, we discuss the implications of our results for the “entanglement builds geometry” proposal.
ISSN:1029-8479