Research output: Contribution to journal › Article

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

Research output: Contribution to journal › Article

Balasubramanian, V, Craps, B, De Jonckheere, T & Sárosi, G 2019, 'Entanglement versus entwinement in symmetric product orbifolds', *Journal of High Energy Physics*, vol. 2019, no. 1, 190. https://doi.org/10.1007/JHEP01(2019)190

Balasubramanian, V., Craps, B., De Jonckheere, T., & Sárosi, G. (2019). Entanglement versus entwinement in symmetric product orbifolds. *Journal of High Energy Physics*, *2019*(1), [190]. https://doi.org/10.1007/JHEP01(2019)190

Balasubramanian V, Craps B, De Jonckheere T, Sárosi G. Entanglement versus entwinement in symmetric product orbifolds. Journal of High Energy Physics. 2019 Jan 24;2019(1). 190. https://doi.org/10.1007/JHEP01(2019)190

@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 = "1126-6708",

publisher = "Springer Verlag",

number = "1",

}

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 - 1126-6708

IS - 1

M1 - 190

ER -

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