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Entanglement versus entwinement in symmetric product orbifolds. / Balasubramanian, Vijay; Craps, Ben; De Jonckheere, Tim; Sárosi, Gábor.

In: Journal of High Energy Physics, Vol. 2019, No. 1, 190, 24.01.2019.

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@article{50680518c8434f9c9b90deb2744101a4,
title = "Entanglement versus entwinement in symmetric product orbifolds",
abstract = "We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of N strands sewn together into ``long'' strings, with wavefunctions symmetrized under permutations. In earlier work a related notion of ``entwinement'' was introduced. Here we treat this system analogously to a system of N identical particles. From an algebraic point of view, we point out that the reduced density matrix on k out of N particles is not associated with a subalgebra of operators, but rather with a linear subspace, which we explain is sufficient. In the orbifold CFT, we compute the entropy of a single strand in states holographically dual in the D1/D5 system to a conical defect geometry or a massless BTZ black hole and find a result identical to entwinement. We also calculate the entropy of two strands in the state that represents the conical defect; the result differs from entwinement. In this case, matching entwinement would require finding a gauge-invariant way to impose continuity across strands.",
keywords = "AdS-CFT Correspondence, Conformal Field Theory, Field Theories in Lower Dimensions, Gauge Symmetry",
author = "Vijay Balasubramanian and Ben Craps and {De Jonckheere}, Tim and G{\'a}bor S{\'a}rosi",
year = "2019",
month = "1",
day = "24",
doi = "10.1007/JHEP01(2019)190",
language = "English",
volume = "2019",
journal = "Journal of High Energy Physics",
issn = "1029-8479",
publisher = "Springer Verlag",
number = "1",

}

RIS

TY - JOUR

T1 - Entanglement versus entwinement in symmetric product orbifolds

AU - Balasubramanian, Vijay

AU - Craps, Ben

AU - De Jonckheere, Tim

AU - Sárosi, Gábor

PY - 2019/1/24

Y1 - 2019/1/24

N2 - We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of N strands sewn together into ``long'' strings, with wavefunctions symmetrized under permutations. In earlier work a related notion of ``entwinement'' was introduced. Here we treat this system analogously to a system of N identical particles. From an algebraic point of view, we point out that the reduced density matrix on k out of N particles is not associated with a subalgebra of operators, but rather with a linear subspace, which we explain is sufficient. In the orbifold CFT, we compute the entropy of a single strand in states holographically dual in the D1/D5 system to a conical defect geometry or a massless BTZ black hole and find a result identical to entwinement. We also calculate the entropy of two strands in the state that represents the conical defect; the result differs from entwinement. In this case, matching entwinement would require finding a gauge-invariant way to impose continuity across strands.

AB - We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of N strands sewn together into ``long'' strings, with wavefunctions symmetrized under permutations. In earlier work a related notion of ``entwinement'' was introduced. Here we treat this system analogously to a system of N identical particles. From an algebraic point of view, we point out that the reduced density matrix on k out of N particles is not associated with a subalgebra of operators, but rather with a linear subspace, which we explain is sufficient. In the orbifold CFT, we compute the entropy of a single strand in states holographically dual in the D1/D5 system to a conical defect geometry or a massless BTZ black hole and find a result identical to entwinement. We also calculate the entropy of two strands in the state that represents the conical defect; the result differs from entwinement. In this case, matching entwinement would require finding a gauge-invariant way to impose continuity across strands.

KW - AdS-CFT Correspondence

KW - Conformal Field Theory

KW - Field Theories in Lower Dimensions

KW - Gauge Symmetry

UR - http://www.scopus.com/inward/record.url?scp=85060710335&partnerID=8YFLogxK

U2 - 10.1007/JHEP01(2019)190

DO - 10.1007/JHEP01(2019)190

M3 - Article

VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1029-8479

IS - 1

M1 - 190

ER -

ID: 43924765