Definitions of entwinement

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Abstract

jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pEntwinement was first introduced as the CFT dual to extremal, non-minimal geodesics of quotiented AdS3 spaces. It was heuristically meant to capture the entanglement of internal, gauged degrees of freedom, for instance in the symmetric product orbifold CFT of the D1/D5 brane system. The literature now contains different, and sometimes inequivalent, field theory definitions of entwinement. In this paper, we build a discretized lattice model of symmetric product orbifold CFTs, and explicitly construct a gauge-invariant reduced density matrix whose von Neumann entropy agrees with the holographic computation of entwinement. Refining earlier notions, our construction gives meaning to the entwinement of an interval of given size within a long string of specific length. We discuss similarities and differences with previous definitions of entwinement.</jats:p>

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Keywords
AdS-CFT Correspondence, Gauge-Gravity Correspondence, Lattice Quantum, Field Theory
Journal Title
Journal of High Energy Physics
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Journal ISSN
1029-8479
1029-8479
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Publisher
Springer Science and Business Media LLC