Topological string entanglement
Veronika E. Hubeny, Roji Pius, Mukund Rangamani

TL;DR
This paper explores how topological entanglement in Chern-Simons theory is represented in string theory, using topological D-branes and dualities to connect open and closed string descriptions and define entanglement measures.
Contribution
It introduces a method to compute quantum entanglement in topological string theory via a replica construction that is compatible with geometric transitions, linking open and closed string entanglement.
Findings
Replica construction extends to closed strings.
Entanglement maps between open and closed string descriptions.
Provides a framework for entanglement entropy in topological strings.
Abstract
We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom is encoded in string theory (beyond the oft discussed classical gravity limit). Concretely, we realize the Chern-Simons theory as the worldvolume dynamics of topological D-branes in the topological A-model string theory on a Calabi-Yau target. Via the open/closed topological string duality one can map this theory onto a pure closed topological A-model string on a different target space, one which is related to the original Calabi-Yau geometry by a geometric/conifold transition. We demonstrate how to uplift the replica construction of Chern-Simons theory directly onto the closed string and show that it provides a meaningful definition of reduced…
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