OPE of the stress tensors and surface operators

Xing Huang; Ling Yan Hung; Feng Li Lin

doi:10.1007/JHEP06(2015)087

OPE of the stress tensors and surface operators

Xing Huang, Ling Yan Hung, Feng Li Lin^*

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Abstract: We demonstrate that the divergent terms in the OPE of a stress tensor and a line (co-dimension two) operator of general shape in three dimensional spacetime cannot be constructed only from local geometric data depending only on the shape of the line. We verify this holographically for Wilson line operators or equivalently the twist operator corresponding to computing the entanglement entropy using the Ryu-Takayanagi formula. We discuss possible implications of this result.

Original language	English
Article number	87
Journal	Journal of High Energy Physics
Volume	2015
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2015)087
Publication status	Published - 2015 Jun 17

Keywords

AdSCFT Correspondence
Gauge-gravity correspondence
Space-Time Symmetries
Wilson
’t Hooft and Polyakov loops

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP06(2015)087

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abstract = "Abstract: We demonstrate that the divergent terms in the OPE of a stress tensor and a line (co-dimension two) operator of general shape in three dimensional spacetime cannot be constructed only from local geometric data depending only on the shape of the line. We verify this holographically for Wilson line operators or equivalently the twist operator corresponding to computing the entanglement entropy using the Ryu-Takayanagi formula. We discuss possible implications of this result.",

keywords = "AdSCFT Correspondence, Gauge-gravity correspondence, Space-Time Symmetries, Wilson, {\textquoteright}t Hooft and Polyakov loops",

author = "Xing Huang and Hung, {Ling Yan} and Lin, {Feng Li}",

note = "Publisher Copyright: {\textcopyright} 2015, SISSA, Trieste, Italy.",

year = "2015",

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doi = "10.1007/JHEP06(2015)087",

language = "English",

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AU - Huang, Xing

AU - Hung, Ling Yan

AU - Lin, Feng Li

PY - 2015/6/17

Y1 - 2015/6/17

N2 - Abstract: We demonstrate that the divergent terms in the OPE of a stress tensor and a line (co-dimension two) operator of general shape in three dimensional spacetime cannot be constructed only from local geometric data depending only on the shape of the line. We verify this holographically for Wilson line operators or equivalently the twist operator corresponding to computing the entanglement entropy using the Ryu-Takayanagi formula. We discuss possible implications of this result.

AB - Abstract: We demonstrate that the divergent terms in the OPE of a stress tensor and a line (co-dimension two) operator of general shape in three dimensional spacetime cannot be constructed only from local geometric data depending only on the shape of the line. We verify this holographically for Wilson line operators or equivalently the twist operator corresponding to computing the entanglement entropy using the Ryu-Takayanagi formula. We discuss possible implications of this result.

KW - AdSCFT Correspondence

KW - Gauge-gravity correspondence

KW - Space-Time Symmetries

KW - Wilson

KW - ’t Hooft and Polyakov loops

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DO - 10.1007/JHEP06(2015)087

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 87

ER -

OPE of the stress tensors and surface operators

Abstract

Keywords

ASJC Scopus subject areas

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